BuyFind*arrow_forward*

6th Edition

Daniel C. Alexander + 1 other

Publisher: Cengage Learning

ISBN: 9781285195698

Chapter 9.CR, Problem 26CR

Textbook Problem

a) An octahedron has _________________ faces that are _________________.

b) A tetrahedron has _________________ faces that are _________________.

c) A dodecahedron has _________________ faces that are _________________.

Elementary Geometry for College Students

Show all chapter solutions

Ch. 9.1 - Consider the solid shown. a Does it appear to be a...Ch. 9.1 - Consider the solid shown. a Does it appear to be a...Ch. 9.1 - Consider the hexagonal prism shown in Exercise 1....Ch. 9.1 - Consider the triangular prism shown in Exercise 2....Ch. 9.1 - If each edge of the hexagonal prism in Exercise 1...Ch. 9.1 - If each edge of the triangular prism in Exercise...Ch. 9.1 - Suppose that each of the bases of the hexagonal...Ch. 9.1 - Suppose that each of the bases of the triangular...Ch. 9.1 - Suppose that each of bases of the hexagonal prism...Ch. 9.1 - Suppose that each of the bases of the triangular...

Ch. 9.1 - A solid is an octagonal prism. a How many vertices...Ch. 9.1 - A solid is a pentagonal prism. a How many vertices...Ch. 9.1 - Generalize the results found in Exercise 11 and 12...Ch. 9.1 - In the accompanying regular pentagonal prism,...Ch. 9.1 - In the regular pentagonal prism shown above,...Ch. 9.1 - For the right triangular prism, suppose that the...Ch. 9.1 - For the right triangular prism found in Exercise...Ch. 9.1 - Given that 100 cm =1 m, find the number of cubic...Ch. 9.1 - Given that 12 in. =1 ft, find the number of cubic...Ch. 9.1 - Find the volume and the surface area of a closed...Ch. 9.1 - Find the volume and the surface area of a closed...Ch. 9.1 - A cereal box measures 2 in. by 8 in. by 10 in....Ch. 9.1 - The measures of the sides of the square base of a...Ch. 9.1 - For a given box, the height measures 4 m. If the...Ch. 9.1 - For the box shown, the total area is 94 cm2....Ch. 9.1 - If the volume of the box is 252 in3, find the...Ch. 9.1 - The box with dimensions indicated is to be...Ch. 9.1 - A hollow steel door is 32 in. wide by 80 in. tall...Ch. 9.1 - A storage shed is in the shape of a pentagonal...Ch. 9.1 - A storage shed is in the shape of a trapezoidal...Ch. 9.1 - A cube is a right square prism in which all edges...Ch. 9.1 - Use the formulas and drawing in Exercise 31 to...Ch. 9.1 - When the length of each edge of a cube is...Ch. 9.1 - The numerical value of the volume of a cube equals...Ch. 9.1 - The sum of the lengths of all edges of a cube is...Ch. 9.1 - A concrete pad 4 in. thick is to have a length of...Ch. 9.1 - Zaidah plans a raised flower bed 2 ft high by 12...Ch. 9.1 - In excavating for a new house, a contractor digs a...Ch. 9.1 - Kristine creates an open box by cutting congruent...Ch. 9.1 - As in Exercise 39, find the volume of the box if...Ch. 9.1 - Kiannas aquarium is box-shaped with dimensions of...Ch. 9.1 - The gasoline tank on an automobile is box-shaped...Ch. 9.1 - For Exercise 43 to 45, consider the oblique...Ch. 9.1 - For Exercise 43 to 45, consider the oblique...Ch. 9.1 - For Exercise 43 to 45, consider the oblique...Ch. 9.1 - It can be shown that the length of a diagonal of a...Ch. 9.1 - A diagonal of a cube joins two vertices so that...Ch. 9.2 - In Exercises 1 to 4, name the solid that is shown....Ch. 9.2 - In Exercises 1 to 4, name the solid that is shown....Ch. 9.2 - In Exercises 1 to 4, name the solid that is shown....Ch. 9.2 - In Exercises 1 to 4, name the solid that is shown....Ch. 9.2 - In the solid shown, base ABCD is a square. a Is...Ch. 9.2 - In the solid on page 406, the base is a regular...Ch. 9.2 - Consider the square pyramid in Exercise 5. a How...Ch. 9.2 - Consider the hexagonal pyramid in Exercise 6. a...Ch. 9.2 - Suppose that the lateral faces of the pyramid in...Ch. 9.2 - Suppose that the base of the hexagonal pyramid in...Ch. 9.2 - Suppose that the base of the square pyramid in...Ch. 9.2 - Suppose that the base of the hexagonal pyramid in...Ch. 9.2 - Assume that the number of sides in the base of a...Ch. 9.2 - Refer to the prisms of Exercises 1 and 2. Which of...Ch. 9.2 - Refer to the pyramids of Exercises 3 and 4. Which...Ch. 9.2 - Refer to the prisms of Exercises 1 and 2. Which of...Ch. 9.2 - Refer to the pyramids of Exercises 3 and 4. Which...Ch. 9.2 - Consider any regular pyramid. Indicate which line...Ch. 9.2 - Consider any regular pyramid. Indicate which line...Ch. 9.2 - In Exercises 20 and 21, use Theorem 9.2.1 in which...Ch. 9.2 - In Exercises 20 and 21, use Theorem 9.2.1 in which...Ch. 9.2 - In a regular pentagonal pyramid, each lateral edge...Ch. 9.2 - In a regular pentagonal pyramid, each base edge...Ch. 9.2 - For the regular square pyramid shown, suppose that...Ch. 9.2 - For the regular square pyramid shown in Exercise...Ch. 9.2 - The figure below is a regular hexagonal pyramid. a...Ch. 9.2 - For a regular square pyramid, suppose that the...Ch. 9.2 - For a regular square pyramid, the slant height of...Ch. 9.2 - A church steeple in the shape of a regular square...Ch. 9.2 - Before the shingles of the steeple see Exercise 29...Ch. 9.2 - A teepee is constructed by using 12 poles. The...Ch. 9.2 - For its occupants to be protected from the...Ch. 9.2 - The street departments storage building, which is...Ch. 9.2 - The foyer planned as an addition to an existing...Ch. 9.2 - The exhaust chute on a wood chipper has a shape...Ch. 9.2 - A popcorn container at a movie theatre has the...Ch. 9.2 - A regular tetrahedron is a regular triangular...Ch. 9.2 - Each edge of a regular tetrahedron see Exercise 37...Ch. 9.2 - Exercise 39 and 40 are based upon the uniqueness...Ch. 9.2 - Exercise 39 and 40 are based upon the uniqueness...Ch. 9.2 - Consider the accompanying figure. When the four...Ch. 9.2 - Find the volume of the regular square pyramid that...Ch. 9.2 - Where e1 and e2 are the lengths of two...Ch. 9.2 - Use the information from Exercise 43 to find the...Ch. 9.2 - A hexagonal pyramid not regular with base ABCDEF...Ch. 9.3 - Does a right circular cylinder such as an aluminum...Ch. 9.3 - Does a right circular cone such as a wizards cap...Ch. 9.3 - For the right circular cylinder shown on page 471,...Ch. 9.3 - For the right circular cylinder shown on page 417,...Ch. 9.3 - For the right circular cylinder, suppose that r=5...Ch. 9.3 - Suppose that r=12 cm and h=15 cm in the right...Ch. 9.3 - The tin can shown at the right has the indicated...Ch. 9.3 - What is the volume of the tin can? If it contains...Ch. 9.3 - If the exact volume of a right circular cylinder...Ch. 9.3 - Suppose that the volume of an aluminum can is to...Ch. 9.3 - For an aluminum can, the lateral surface area is...Ch. 9.3 - Find the height of a storage tank in the shape of...Ch. 9.3 - Find the volume of the oblique circular cylinder....Ch. 9.3 - A cylindrical orange juice container has metal...Ch. 9.3 - In Exercises 15 to 20, use that fact that r2+h2=l2...Ch. 9.3 - In Exercises 15 to 20, use that fact that r2+h2=l2...Ch. 9.3 - In Exercises 15 to 20, use that fact that r2+h2=l2...Ch. 9.3 - In Exercises 15 to 20, use that fact that r2+h2=l2...Ch. 9.3 - In Exercises 15 to 20, use that fact that r2+h2=l2...Ch. 9.3 - In Exercises 15 to 20, use that fact that r2+h2=l2...Ch. 9.3 - The oblique circular cone has an altitude and a...Ch. 9.3 - For the accompanying right circular cone, h=6 m...Ch. 9.3 - For the right circular cone shown in Exercise 22,...Ch. 9.3 - Rukia discovers that the teepee with a circular...Ch. 9.3 - A rectangle has dimensions of 6 in. by 3 in. Find...Ch. 9.3 - A rectangle has dimensions of 6in. by 3 in. Find...Ch. 9.3 - A triangle has sides that measure 15 cm, 20 cm,...Ch. 9.3 - A triangle has sides that measure 15 cm, 20 cm,...Ch. 9.3 - A triangle has sides that measure 15 cm, 20 cm,...Ch. 9.3 - Where r is the length of the radius of a sphere,...Ch. 9.3 - If a right circular cone has a circular base with...Ch. 9.3 - A right circular cone has a slant height of 12 ft...Ch. 9.3 - A solid is formed by cutting a conical section...Ch. 9.3 - In Exercises 34 and 35, give a paragraph proof for...Ch. 9.3 - In Exercises 34 and 35, give a paragraph proof for...Ch. 9.3 - For a right circular cone, the slant height has a...Ch. 9.3 - For a right circular cone, the ratio of the slant...Ch. 9.3 - If the length of the radius and the height of a...Ch. 9.3 - For the two similar cylinders in Exercise 38, what...Ch. 9.3 - For a right circular cone, the dimensions are r=6...Ch. 9.3 - A cylindrical storage tank has a depth of 5 ft and...Ch. 9.3 - If the tank in Exercises 41 needs to be painted...Ch. 9.3 - A frustum of a cone is the portion of the cone...Ch. 9.3 - In Exercises 44 and 45, use the formula from...Ch. 9.3 - In Exercises 44 and 45, use the formula from...Ch. 9.3 - An oil refinery has storage tanks in the shape of...Ch. 9.3 - A farmer has a fuel tank in the shape of a right...Ch. 9.3 - When radii OA and OB are placed so that they...Ch. 9.3 - A lawn roller in the shape of a right circular...Ch. 9.4 - Which of these two polyhedrons is concave? Note...Ch. 9.4 - For Figure a of Exercise 1, find the number of...Ch. 9.4 - For figure b of Exercise 1, find the number of...Ch. 9.4 - For a regular tetrahedron, find the number of...Ch. 9.4 - For a regular hexahedron, find the number of...Ch. 9.4 - A regular polyhedron has 12 edges and 8 vertices....Ch. 9.4 - A regular polyhedron has 12 edges and 6 vertices....Ch. 9.4 - A polyhedron not regular has 10 vertices and 7...Ch. 9.4 - A polyhedron not regular has 14 vertices and 21...Ch. 9.4 - In Exercises 10 to 12, the probability is the...Ch. 9.4 - In Exercises 10 to 12, the probability is the...Ch. 9.4 - In Exercises 10 to 12, the probability is the...Ch. 9.4 - In sphere O, the length of radius OP- is 6 in....Ch. 9.4 - Find the approximate surface area and volume of...Ch. 9.4 - Find the total area surface area of a regular...Ch. 9.4 - Find the total area surface area of a regular...Ch. 9.4 - Find the total area surface area of a regular...Ch. 9.4 - Find the total area surface area of a regular...Ch. 9.4 - The total area surface area of a regular...Ch. 9.4 - The total area surface area of a regular...Ch. 9.4 - Find the approximate volume of a sphere with...Ch. 9.4 - Find the approximate volume of a sphere with...Ch. 9.4 - The surface of a soccer ball is composed of 12...Ch. 9.4 - A calendar is determined by using each of the 12...Ch. 9.4 - A sphere is inscribed within a right circular...Ch. 9.4 - In calculus, it can be shown that the largest...Ch. 9.4 - Given that a regular polyhedron of n faces is...Ch. 9.4 - A right circular cone is inscribed in a sphere. If...Ch. 9.4 - A sphere is inscribed in a right circular cone...Ch. 9.4 - In Exercises 31 and 32, use the calculator value...Ch. 9.4 - In Exercises 31 and 32, use the calculator value...Ch. 9.4 - A sphere has a volume equal to 997in3. Determine...Ch. 9.4 - A sphere has a surface area equal to 154in2....Ch. 9.4 - The spherical storage tank described in Example 5...Ch. 9.4 - An observatory has the shape of a right circular...Ch. 9.4 - A leather soccer ball has an inside diameter...Ch. 9.4 - An ice cream cone is filled with ice cream as...Ch. 9.4 - For Exercises 39 to 44, make drawings as needed....Ch. 9.4 - For Exercises 39 to 44, make drawings as needed....Ch. 9.4 - For Exercises 39 to 44, make drawings as needed....Ch. 9.4 - For Exercises 39 to 44, make drawings as needed....Ch. 9.4 - For Exercises 39 to 44, make drawings as needed....Ch. 9.4 - For Exercises 39 to 44, make drawings as needed....Ch. 9.4 - Suppose that a semicircular region with a vertical...Ch. 9.4 - Suppose that a semicircular region with vertical...Ch. 9.4 - Sketch the torus that results when the given...Ch. 9.4 - Sketch the solid that results when the given...Ch. 9.4 - Explain how the following formula used in Example...Ch. 9.4 - Derive a formula for the total surface area of the...Ch. 9.CR - Each side of the base of a right octagonal prism...Ch. 9.CR - The base of a right prism is a triangle whose...Ch. 9.CR - The height of a square box is 2 in. more than...Ch. 9.CR - The base of a right prism is a rectangle whose...Ch. 9.CR - The base of a right prism is a triangle whose...Ch. 9.CR - The base of a right prism is a regular hexagon...Ch. 9.CR - A regular square pyramid has a base whose sides...Ch. 9.CR - A regular hexagonal pyramid has a base whose sides...Ch. 9.CR - The radius of the base of a right circular cone...Ch. 9.CR - The diameter of the base of a right circular cone...Ch. 9.CR - The slant height of a regular square pyramid...Ch. 9.CR - The base of a regular pyramid is an equilateral...Ch. 9.CR - The radius length of the base of a right circular...Ch. 9.CR - a For the through in the shape of half-cylinder,...Ch. 9.CR - The slant height of a right circular cone is 12...Ch. 9.CR - The volume of the right circular cone is 96 in. If...Ch. 9.CR - Find the surface area of a sphere if the radius...Ch. 9.CR - Find the volume of a sphere if the diameter has...Ch. 9.CR - The solid shown consists of a hemisphere half of a...Ch. 9.CR - If the radius length of one sphere is three times...Ch. 9.CR - Find the volume of the solid of revolution that...Ch. 9.CR - Find the exact volume of the solid of revolution...Ch. 9.CR - Find the exact volume of the solid of revolution...Ch. 9.CR - A plastic pipe is 3 ft long and has an inside...Ch. 9.CR - A sphere with a diameter length of 14 in. is...Ch. 9.CR - a An octahedron has _________________ faces that...Ch. 9.CR - A drug manufacturing company wants to manufacture...Ch. 9.CR - For each of the following solids, verify Eulers...Ch. 9.CR - Find the volume of cement used in the block shows.Ch. 9.CR - Given a die in the shape of a regular octahedron,...Ch. 9.CR - Find the total surface area of a a regular...Ch. 9.CR - Three spheres are externally tangent to each other...Ch. 9.CT - For the regular pentagonal prism shown below, find...Ch. 9.CT - For the regular pentagonal base, each edge...Ch. 9.CT - For the regular square pyramid shown, find the...Ch. 9.CT - For the regular square pyramid shown above, find a...Ch. 9.CT - For the regular square pyramid shown, find the...Ch. 9.CT - Find the height of the regular square pyramid...Ch. 9.CT - Find the volume of the regular square pyramid...Ch. 9.CT - Determine whether the statement is true or false....Ch. 9.CT - Determine whether the statement is true or false....Ch. 9.CT - Recall Eulers equations, V+F=E+2. For a certain...Ch. 9.CT - Find the slant height of the right circular cone...Ch. 9.CT - For the right circular cylinder shown, r=4 cm and...Ch. 9.CT - The exact volume of a right circular cone not...Ch. 9.CT - Assume that a die used for gaming is in the shape...Ch. 9.CT - A spherical storage tank filled with water has a...Ch. 9.CT - A pump moves water at a rate of 8ft3 per minute....

Find more solutions based on key concepts

Show solutions In Exercise 9 to 16, use a calculator to find the indicated cosine ratio to four decimal places. cos73

Elementary Geometry For College Students, 7e

COLLEGE SAVINGS PROGRAM The Blakes have decided to start a monthly savings program to provide for their sons co...

Finite Mathematics for the Managerial, Life, and Social Sciences

Find an equation of the line that passes through the midpoint of the line segment joining the points P1(1, 3) a...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Let a=log2,b=log3, and c=log7. In Exercises 2946, use the logarithm identities to express the given quantity in...

Applied Calculus

Show that the equation 3x + 2 cos x + 5 = 0 has exactly one real root.

Single Variable Calculus: Early Transcendentals, Volume I

Solve the following problems. a. Find the mean, median, and mode for the following scores. b. Based on the thre...

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Use inductive reasoning to predict the next symbol in the following list. Hint: Look for a pattern that involve...

Mathematical Excursions (MindTap Course List)

Evaluate each expression without using a calculator, and write your answers in radians. arccos(1)

Trigonometry (MindTap Course List)

In Exercises 516, evaluate the given quantity. log42

Finite Mathematics and Applied Calculus (MindTap Course List)

10. Suppose the set has a .
a. How many elements does the power set have ?
b. If how many elements of the p...

Elements Of Modern Algebra

For Problems 29-32, classify the real number by tracing through the diagram in the text see page 16. Objective ...

Intermediate Algebra

Finding an Indefinite Integral In Exercises 5-28, find the indefinite integral. 6x(x5)2dx

Calculus: Early Transcendental Functions

Comparing VectorsIn Exercises 25 and 26, determine whether u and v are orthogonal, parallel, or neither. u=4,3...

Calculus: Early Transcendental Functions (MindTap Course List)

Agriculture: Cotton A botanist has developed a new hybrid cotton plant that can withstand insects better than o...

Understanding Basic Statistics

Nutrition Three different bacteria are cultured in one environment and feed three nutrients. Each individual of...

Mathematical Applications for the Management, Life, and Social Sciences

Lateral Surface Area of a Cone A right circular cone is generated by revolving the region bounded by y=3x/4,y=3...

Calculus of a Single Variable

To fill the tanks of a small plane after a trip cost $104.06. If it took 24.2 gal of gas, find the price per ga...

Elementary Technical Mathematics

Use a power series to approximate the definite integral to six decimal places. 31. 00.2xln(1+x2)dx

Multivariable Calculus

Calculating a Determinant in Different Ways Consider the matrix B=[410211403] (a) Evaluate det(B) by expanding ...

Precalculus: Mathematics for Calculus (Standalone Book)

A sample is selected from a population with a mean of =40 and a standard deviation of =8 . If the sample has n=...

Statistics for The Behavioral Sciences (MindTap Course List)

Evaluate expressions in Exercises 3756, rounding your answer to four significant digits where necessary. 9+16

Finite Mathematics

A cardiac monitor is used to measure the heart rate of a patient after surgery. It complies the number of heart...

Calculus (MindTap Course List)

Population The resident population of Wisconsin (in thousands) was 5655 in 2009 and 5743 in 2013. Assume that t...

Calculus: An Applied Approach (MindTap Course List)

Find the volume obtained when the circle of radius 1 with center (1, 0) is rotated about the y-axis.

Calculus: Early Transcendentals

Graph the function f(x) = sin(/x) of Example 4 in the viewing rectangle [1, 1] by [1, 1]. Then zoom in toward t...

Single Variable Calculus

For each of the following, identify the type of fraction and write it in word form.
a. b. c. d.

Contemporary Mathematics for Business & Consumers

The mode of a continuous distribution is the value x that maximizes f(x). a. What is the mode of a normal distr...

Probability and Statistics for Engineering and the Sciences

SOC Data have been gathered on four variables for 15 respondents see the following table. Find and report the a...

Essentials Of Statistics

If x=1213 find the values of the other hyperbolic functions at x.

Single Variable Calculus: Early Transcendentals

With the use of biofuels increasing, investigators are looking for ways in which the wood ash that is a byprodu...

Introduction To Statistics And Data Analysis

True or False:
Du f(a, b) = âˆ‡(a, b) Â· u.

Study Guide for Stewart's Multivariable Calculus, 8th

True or False:
The graph at the right is the graph of a function.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

In Exercises 22-25, find the work in an art book or by googling the painters name and the name of the painting,...

Mathematics: A Practical Odyssey

A combination drilling and countersinking operation on bronze round stock is performed on an automatic screw ma...

Mathematics For Machine Technology

Finding the Volume of a Solid In Exercises 25-32, find the volume of the solid generated by revolving the regio...

Calculus (MindTap Course List)

Describe the circumstances in which counterbalancing is used and explain what it is trying to accomplish.

Research Methods for the Behavioral Sciences (MindTap Course List)

Many factors influence the retail price of gasoline. The following table shows the average retail price for a g...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Under the last-in, first-out (LIFO) inventory valuation method, a price index for inventory must be established...

Statistics for Business & Economics, Revised (MindTap Course List)

Write an equation of the hyperbola in standard form with center at the origin, one focus at (0,5), and one vert...

College Algebra (MindTap Course List)

Minimizing CostsA heated storage room has the shape of a rectangular prism and has a volume of 1000 cubic feet,...

Multivariable Calculus

Construct a frequency distribution table or graph to organize and display an entire distribution of scores.

Research Methods for the Behavioral Sciences (MindTap Course List)

Two new assembly methods are tested and the variances in assembly times are reported. Use Î± = .10 and test for ...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

A Function Given by a Graph The following is the graph of a function f=f(x). Exercises S-15 through S-23 refer ...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

In the following exercises, use the graph of function y=f(x) shown here to find the value, if possible. Estimat...

Calculus Volume 1

In Problems 118 use Definition 7.1.1 to find f(t). 17. f(t) = t cos t

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

Assembly Methods. Three different assembly methods have been proposed for a new product. A completely randomize...

Essentials Of Statistics For Business & Economics

Prove that the statements in 12â€”14 are false. There exists an integer m3 such that m21 is prime.

Discrete Mathematics With Applications

In the following exercises, compute each integral using appropriate substitutions. 428. et cos 1( e t ) 1 e 2t ...

Calculus Volume 2