BuyFind*arrow_forward*

7th Edition

Alexander + 2 others

Publisher: Cengage,

ISBN: 9781337614085

Chapter 9.1, Problem 48E

Textbook Problem

It can be shown that the length of a diagonal of a right rectangular prism with dimensions

Elementary Geometry For College Students, 7e

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 - Alekzio plans to pour a 4 in. thick concrete pad....Ch. 9.1 - Zaidah plans a raised flower bed 2 ft high by 12...Ch. 9.1 - In excavating for a new house, the Philpott...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 - For Exercise 41 to 44, 1 ft3 of liquid corresponds...Ch. 9.1 - For Exercise 41 to 44, 1 ft3 of liquid corresponds...Ch. 9.1 - For Exercise 41 to 44, 1 ft3 of liquid corresponds...Ch. 9.1 - For Exercise 41 to 44, 1 ft3 of liquid corresponds...Ch. 9.1 - For Exercise 45 to 47, consider the oblique...Ch. 9.1 - For Exercise 45 to 47, consider the oblique...Ch. 9.1 - For Exercise 45 to 47, 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 pyramid shown in Exercise 6 on page 416,...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, suppose that...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 the 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, r=3.2 cm and...Ch. 9.3 - For the right circular cylinder, r=1.75 in. and...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 - Richard 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 A regular octahedron has _________________ faces...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 Add: 324+973+66+9430

Elementary Technical Mathematics

Evaluating an Integral In Exercises 1 and 2, evaluate the integral. 03xsin(xy)dy

Calculus: Early Transcendental Functions

In Problems 31 and 32, a graph is given. Tell where f(x) is concave up, where it is concave down, and where it ...

Mathematical Applications for the Management, Life, and Social Sciences

Evaluate the integral. 17. xcoshxdx

Calculus: Early Transcendentals

Experiments show that a steady current I in a long wire produces a magnetic field B that is tangent to any circ...

Calculus (MindTap Course List)

Domain of a Composition Find the functions f g and g f and their domains. 85. f(x) = 2x, g(x) = x + 1

Precalculus: Mathematics for Calculus (Standalone Book)

Convert each expression in Exercises 25-50 into its technology formula equivalent as in the table in the text. ...

Finite Mathematics and Applied Calculus (MindTap Course List)

In Exercises 3148, (a) factor the given expression, and (b) set the expression equal to zero and solve for the ...

Applied Calculus

Determine whether the sequence converges or diverges. If it converges, find the limit. 55. an=n!2n

Multivariable Calculus

Effect of Advertising on Revenue The revenue of Leisure Travel is given by f(x) dollars, where t is the dollar ...

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

SOC Are middle-class families more likely than working-class families to maintain contact with kin? Write a par...

Essentials Of Statistics

For the following set of scores, find the value of each expression: a. X b. (X)2 c. X2 d. (X +3)

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

Exploring Relationships In Exercises 71-74, the relationship between f and g is given. Explain the relationship...

Calculus: An Applied Approach (MindTap Course List)

In Exercises 23 to 40, let U {p, q, r, s, t}, D = (p. r, s, t}, E = {q, s), F = {p, t}, and G = {s}. Determine ...

Mathematical Excursions (MindTap Course List)

Under what circumstances is a t statistic used instead of a z-score for a hypothesis test?

Statistics for The Behavioral Sciences (MindTap Course List)

For Problems 1-50, solve each equation. Objective 1 3(2a1)2(5a+1)=4(3a+4)

Intermediate Algebra

Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard funct...

Single Variable Calculus

In Exercises 516, evaluate the given quantity. log416

Finite Mathematics

Find the limit. Use lHospitals Rule where appropriate. If there is a more elementary method, consider using it....

Single Variable Calculus: Early Transcendentals, Volume I

Crime: Murder What are the chances that a person who is murdered actually knew the murderer? The answer to this...

Understanding Basic Statistics

The number of requests for assistance received by a towing service is a Poisson process with rate = 4 per hour...

Probability and Statistics for Engineering and the Sciences

Finding The Limit of a Sequence In Exercises 9 and 10, use a graphing utility to graph the first 10 terms of th...

Calculus of a Single Variable

Prove that any polynomial of odd degree that has real coefficients must have a zero in the field of real number...

Elements Of Modern Algebra

Divide the following numbers. Round to hundredths when necessary.
31.

Contemporary Mathematics for Business & Consumers

Use a calculator to evaluate each expression to the nearest tenth of a degree. sin1(0.7660)

Trigonometry (MindTap Course List)

Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check your answer vi...

Single Variable Calculus: Early Transcendentals

Finding a Degree In Exercises 4952, determine the degree of the Maclaurin polynomial required for the error in ...

Calculus: Early Transcendental Functions (MindTap Course List)

In Exercises 520, use the method of this section to solve each linear programming problem. MinimizeC=x+2ysubjec...

Finite Mathematics for the Managerial, Life, and Social Sciences

In addition to the key words, you should also be able to define the following terms: Individual differences Dif...

Research Methods for the Behavioral Sciences (MindTap Course List)

If y = f (g(x)) then yâ€² = fâ€²(gâ€²(x)).

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

Using the Table of Block Thicknesses for a Metric Gage Block Set, determine a combination of gage blocks each o...

Mathematics For Machine Technology

Finding Values In Exercises 45-50, find the positive mines of p for which the series converges. n=1n(1+n2)p

Calculus (MindTap Course List)

The article Caffeine Content of Drinks (caffeineinformer.com/the-caffeine-database, retrieved February 22, 2018...

Introduction To Statistics And Data Analysis

Describe the different ways that within-subjects designs are used to compare two or more treatment conditions, ...

Research Methods for the Behavioral Sciences (MindTap Course List)

Refer to excercise 5 where the following data were used to investigate whether higher prices are generally asso...

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

The port of South Louisiana, located along 54 miles of the Mississippi River between NewOrleans and Baton Rouge...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Graph each polynomial function. f(x)=x3x24x+4

College Algebra (MindTap Course List)

Finding Relative Extrema and Saddle Points Using TechnologyIn Exercises 2528, use a computer algebra system to ...

Multivariable Calculus

For

Study Guide for Stewart's Multivariable Calculus, 8th

Use of Texting. TextRequest reports that adults 1824 years old send and receive 128 texts every day. Suppose we...

Essentials Of Statistics For Business & Economics

44. A sample survey of 54 discount brokers showed that the mean price charged for a trade of 100 shares at $50 ...

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

In 9-33, determine whether the given relation is reflexive, symmetric, transitive, or none of these. Justify yo...

Discrete Mathematics With Applications

Use Jeffersons Method to apportion the legislative seats in Exercise 2.

Mathematics: A Practical Odyssey

More on the Pacific Sardine This is a continuation of Example 5.1. In this exercise, we explore the Pacific sar...

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

If air resistance is proportional to the square of the instantaneous velocity, then the velocity v of a mass m ...

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

Even, Odd, or Neither? In Exercises 77-82, sketch a graph of the function and determine whether it is even, odd...

College Algebra

For the following exercises, graph the equations and shade the area of the region between the curves. Determine...

Calculus Volume 2