menu
bartleby
search
close search
Hit Return to see all results
Subscribe
Sign in

Math
GeometryElementary Geometry for College Students6th Edition

close solutoin list
Chapter 9.1, Problem 31E
BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

A cube is a right square prism in which all edges have the same length. For the cube with edge e ,

a ) Show that the total area is T = 6 e 2 .

b ) find the total area if e = 4 cm.

c ) Show that the volume is V = e 3 .

d ) find the volume if e = 4 cm.

Chapter 9.1, Problem 31E, A cube is a right square prism in which all edges have the same length. For the cube with edge e, a

To determine

a)

To prove:

The total area is T=6e2

Explanation

The total area of any solid is the area of all the number of lateral sides that it have, including the area of the top and the bottom of solid.

Thus, the total area (T) of any solid prism with its lateral area (L) and base area (B) is given by the formula.

T=L+2B

Here, we have 2B since, any solid prison will have two bases (One upper part and another the lower part).

Calculation:

Given,

The edge of the right square prism (cube) =e.

The total area of a regular prism with lateral area ‘L’ and base area B is given by the formula

T=L+2B.

First let’s calculate the lateral area of the prism.

The lateral area of the prism with its base perimeter ‘P’ and altitude ‘h’ is given by

L=Ph

Here, the base of the prism is with the square base and of each edge of length ‘e’

To determine

b)

To find:

The total area if e=4 cm.

To determine

c)

To prove:

The volume is V=e3.

To determine

d)

To find:

The volume if e=4 cm.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution
arrow_back
Chapter 9.1,
Problem 30E
Chapter 9.1,
Problem 32E
arrow_forward

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Chapter 9 Solutions

Show all chapter solutions add
Sect-9.1 P-1ESect-9.1 P-2ESect-9.1 P-3ESect-9.1 P-4ESect-9.1 P-5ESect-9.1 P-6ESect-9.1 P-7ESect-9.1 P-8ESect-9.1 P-9ESect-9.1 P-10E
Sect-9.1 P-11ESect-9.1 P-12ESect-9.1 P-13ESect-9.1 P-14ESect-9.1 P-15ESect-9.1 P-16ESect-9.1 P-17ESect-9.1 P-18ESect-9.1 P-19ESect-9.1 P-20ESect-9.1 P-21ESect-9.1 P-22ESect-9.1 P-23ESect-9.1 P-24ESect-9.1 P-25ESect-9.1 P-26ESect-9.1 P-27ESect-9.1 P-28ESect-9.1 P-29ESect-9.1 P-30ESect-9.1 P-31ESect-9.1 P-32ESect-9.1 P-33ESect-9.1 P-34ESect-9.1 P-35ESect-9.1 P-36ESect-9.1 P-37ESect-9.1 P-38ESect-9.1 P-39ESect-9.1 P-40ESect-9.1 P-41ESect-9.1 P-42ESect-9.1 P-43ESect-9.1 P-44ESect-9.1 P-45ESect-9.1 P-46ESect-9.1 P-47ESect-9.2 P-1ESect-9.2 P-2ESect-9.2 P-3ESect-9.2 P-4ESect-9.2 P-5ESect-9.2 P-6ESect-9.2 P-7ESect-9.2 P-8ESect-9.2 P-9ESect-9.2 P-10ESect-9.2 P-11ESect-9.2 P-12ESect-9.2 P-13ESect-9.2 P-14ESect-9.2 P-15ESect-9.2 P-16ESect-9.2 P-17ESect-9.2 P-18ESect-9.2 P-19ESect-9.2 P-20ESect-9.2 P-21ESect-9.2 P-22ESect-9.2 P-23ESect-9.2 P-24ESect-9.2 P-25ESect-9.2 P-26ESect-9.2 P-27ESect-9.2 P-28ESect-9.2 P-29ESect-9.2 P-30ESect-9.2 P-31ESect-9.2 P-32ESect-9.2 P-33ESect-9.2 P-34ESect-9.2 P-35ESect-9.2 P-36ESect-9.2 P-37ESect-9.2 P-38ESect-9.2 P-39ESect-9.2 P-40ESect-9.2 P-41ESect-9.2 P-42ESect-9.2 P-43ESect-9.2 P-44ESect-9.2 P-45ESect-9.3 P-1ESect-9.3 P-2ESect-9.3 P-3ESect-9.3 P-4ESect-9.3 P-5ESect-9.3 P-6ESect-9.3 P-7ESect-9.3 P-8ESect-9.3 P-9ESect-9.3 P-10ESect-9.3 P-11ESect-9.3 P-12ESect-9.3 P-13ESect-9.3 P-14ESect-9.3 P-15ESect-9.3 P-16ESect-9.3 P-17ESect-9.3 P-18ESect-9.3 P-19ESect-9.3 P-20ESect-9.3 P-21ESect-9.3 P-22ESect-9.3 P-23ESect-9.3 P-24ESect-9.3 P-25ESect-9.3 P-26ESect-9.3 P-27ESect-9.3 P-28ESect-9.3 P-29ESect-9.3 P-30ESect-9.3 P-31ESect-9.3 P-32ESect-9.3 P-33ESect-9.3 P-34ESect-9.3 P-35ESect-9.3 P-36ESect-9.3 P-37ESect-9.3 P-38ESect-9.3 P-39ESect-9.3 P-40ESect-9.3 P-41ESect-9.3 P-42ESect-9.3 P-43ESect-9.3 P-44ESect-9.3 P-45ESect-9.3 P-46ESect-9.3 P-47ESect-9.3 P-48ESect-9.3 P-49ESect-9.4 P-1ESect-9.4 P-2ESect-9.4 P-3ESect-9.4 P-4ESect-9.4 P-5ESect-9.4 P-6ESect-9.4 P-7ESect-9.4 P-8ESect-9.4 P-9ESect-9.4 P-10ESect-9.4 P-11ESect-9.4 P-12ESect-9.4 P-13ESect-9.4 P-14ESect-9.4 P-15ESect-9.4 P-16ESect-9.4 P-17ESect-9.4 P-18ESect-9.4 P-19ESect-9.4 P-20ESect-9.4 P-21ESect-9.4 P-22ESect-9.4 P-23ESect-9.4 P-24ESect-9.4 P-25ESect-9.4 P-27ESect-9.4 P-28ESect-9.4 P-29ESect-9.4 P-30ESect-9.4 P-31ESect-9.4 P-32ESect-9.4 P-33ESect-9.4 P-34ESect-9.4 P-35ESect-9.4 P-36ESect-9.4 P-37ESect-9.4 P-38ESect-9.4 P-39ESect-9.4 P-40ESect-9.4 P-41ESect-9.4 P-42ESect-9.4 P-43ESect-9.4 P-44ESect-9.4 P-45ESect-9.4 P-46ESect-9.4 P-47ESect-9.4 P-48ESect-9.4 P-49ESect-9.4 P-50ESect-9.CR P-1CRSect-9.CR P-2CRSect-9.CR P-3CRSect-9.CR P-4CRSect-9.CR P-5CRSect-9.CR P-6CRSect-9.CR P-7CRSect-9.CR P-8CRSect-9.CR P-9CRSect-9.CR P-10CRSect-9.CR P-11CRSect-9.CR P-12CRSect-9.CR P-13CRSect-9.CR P-14CRSect-9.CR P-15CRSect-9.CR P-16CRSect-9.CR P-17CRSect-9.CR P-18CRSect-9.CR P-19CRSect-9.CR P-20CRSect-9.CR P-21CRSect-9.CR P-22CRSect-9.CR P-23CRSect-9.CR P-24CRSect-9.CR P-25CRSect-9.CR P-26CRSect-9.CR P-27CRSect-9.CR P-28CRSect-9.CR P-29CRSect-9.CR P-30CRSect-9.CR P-31CRSect-9.CR P-32CRSect-9.CT P-1CTSect-9.CT P-2CTSect-9.CT P-3CTSect-9.CT P-4CTSect-9.CT P-5CTSect-9.CT P-6CTSect-9.CT P-7CTSect-9.CT P-8CTSect-9.CT P-9CTSect-9.CT P-10CTSect-9.CT P-11CTSect-9.CT P-12CTSect-9.CT P-13CTSect-9.CT P-14CTSect-9.CT P-15CTSect-9.CT P-16CT

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

Solve the equations in Exercises 126. x+4x+1+x+43x=0

Applied Calculus

Define the terms population and sample, and explain the role of each in a research study.

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

Determine the infinite limit. 32. limx3x(x3)5

Single Variable Calculus

Find all the second partial derivatives. 53. f(x, y) = x4y 2x3y2

Multivariable Calculus

Interpretation You are applying for two jobs, and you estimate the probability of getting an offer for the firs...

Understanding Basic Statistics

Fill in each blank: 6lb9oz=oz

Elementary Technical Mathematics

Convert the expressions in Exercises 6584 to power form. 4x23+x3/2623x2

Finite Mathematics

Determine the nth-term formula for the number of square tiles in the nth figure.

Mathematical Excursions (MindTap Course List)

State both parts of the Fundamental Theorem of Calculus.

Calculus (MindTap Course List)

The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a line. Find...

Single Variable Calculus: Early Transcendentals, Volume I

A library subscribes to two different weekly news magazines, each of which is supposed to arrive in Wednesdays ...

Probability and Statistics for Engineering and the Sciences

In Problems 1 -6, a graph of is shown and a c-value is given. For each problem, use the graph to find the foll...

Mathematical Applications for the Management, Life, and Social Sciences

Families of Functions A family of functions is given. In parts (a) and (b) graph all the given members of the f...

Precalculus: Mathematics for Calculus (Standalone Book)

For Problems 19-28, use the following set designations. N= x|x is a natural number Q= x|x is a rational number ...

Intermediate Algebra

The following table shows four rows. from a frequency dis1tribution table for a sample of n = 50 scores. Use in...

Statistics for The Behavioral Sciences (MindTap Course List)

CJ About half of the police officers in Shinbone, Kansas, have completed a special course in investigative proc...

Essentials Of Statistics

In Exercises 15-22, find the equation of the specified line. Through (1,3) and (5,2)

Finite Mathematics and Applied Calculus (MindTap Course List)

Sketch the graph of the function. 28. f(x, y) = 2 x2 y2

Calculus: Early Transcendentals

TEMPERATURE Conversion The relationship between the temperature in degrees Fahrenheit (F) and the temperature i...

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

EXPLORING CONCEPTS Approximation In Exercises 57-60, determine which value best approximates the definite integ...

Calculus: Early Transcendental Functions

Using Slope In Exercises 49-52, use the concept of slope to determine whether the three points are collinear. (...

Calculus: An Applied Approach (MindTap Course List)

22. Define a new operation of addition in by and a new multiplication in by. a. Is a commutative ...

Elements Of Modern Algebra

Identify the amplitude and period for each of the following. Do not sketch the graph. y=10cosx10

Trigonometry (MindTap Course List)

Finding a Maclaurin Series In Exercises 27-40, find the Maclaurin series for the function. Use the table of pow...

Calculus of a Single Variable

Suppose a population P(t) satisfies dPdt=0.4P0.001P2P(0)=50 where t is measured in years. (a) What is the carry...

Single Variable Calculus: Early Transcendentals

Use Table 12-2 to calculate the present value of the following annuities due. Annuity Payment Time Nominal Inte...

Contemporary Mathematics for Business & Consumers

Using Partial Fractions In Exercises 3-20, use partial fractions to find the indefinite integral. 1x29dx

Calculus: Early Transcendental Functions (MindTap Course List)

In Exercises 16, refer to the accompanying figure and determine the coordinates of the point and the quadrant i...

Finite Mathematics for the Managerial, Life, and Social Sciences

Subtract 3x25xy+9y3 from 9x2+4x2y6y3.

Mathematics For Machine Technology

Describe how replication protects against fraud being committed in research.

Research Methods for the Behavioral Sciences (MindTap Course List)

State whether each of the following random variables is discrete or continuous: a. The number of defective tire...

Introduction To Statistics And Data Analysis

The percentage of people not covered by health care insurance in 2003 was 15.6% (Statistical Abstract of the Un...

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

Finding a Limit In Exercises 17-36, find the limit, if it exists. limx2x(x61)1/3

Calculus (MindTap Course List)

The radius of convergence of is: 1 3 ∞

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

Write without absolute value symbols. -6i

College Algebra (MindTap Course List)

Finding Second Partial Derivatives In Exercises 77-86, find the four second partial derivatives. Observe that t...

Calculus

The moment about the xz-plane of solid E whose density is ρ(x, y, z) = x is:

Study Guide for Stewart's Multivariable Calculus, 8th

Curvature at the Pole In Exercises 73 and 74, use the result of Exercise 72 to find the curvature of the rose c...

Multivariable Calculus

Most individuals are aware of the fact that the average annual repair cost for an automobile depends on the age...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

The following data show the pattern of results that was obtained in a study by Liguori and Robinson (2001) exam...

Research Methods for the Behavioral Sciences (MindTap Course List)

bartleby
© bartleby 2019