   Chapter 9.1, Problem 26E ### Elementary Geometry for College St...

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

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

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

# If the volume of the box is 252 in3, find the value of x .(See the figure for Exercise 25.) To determine

To find:

The value of ‘x’.

Explanation

The volume of any solid is the region of space occupied by it and in general the volume of a solid is given by the product of its base area and altitude.

For a regular solid prism with base area B and altitude h, the volume is given by the formula

V=Bh.

Calculation:

Given,

Volume of the box =252 in3

Also from the given figure, the length ‘l’, width ‘w’, and the height ‘h’ of the box is given by,

l=x+2

w=x

h=4

The volume of the cuboidal box is given by the formula

V=lwh

252=x+2x4

Divide; by 4 on both sides,

2524=x+2x44

63=x+2x

Apply the distributive property of multiplication over addition to the right side

63=x·x+2·x

63=x2+2x

63+-63=x2+2x+-63

0=x2+2x-63

(i

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

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

Get Started

#### Find the critical numbers of the function. f(x) = x3 + 6x2 15x

Single Variable Calculus: Early Transcendentals, Volume I

#### In Problems 11-14, find the particular solution.

Mathematical Applications for the Management, Life, and Social Sciences

#### Expand each expression in Exercises 122. (4+2x)(42x)

Finite Mathematics and Applied Calculus (MindTap Course List)

#### In Exercises 914, evaluate the expression. 11. (3 4)2

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

#### For , f′(x) =

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