# The side of square piece of cardboard. ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.6, Problem 79E
To determine

## To find: The side of square piece of cardboard.

Expert Solution

The side of square piece of cardboard is 13 inches.

### Explanation of Solution

Given:

A square box of cardboard is made from a square piece of cardboard by cutting 4-inch squares from each corner.

The volume of box is 100in3 .

Formula used:

Volume of cuboid

Volume=length×width×height

Calculation:

Let the side of square piece cardboard be x.

Tabulate the given information into the language of algebra.

 In words In algebra Length of box x−8 Height of box 4 Width of box x−8

Model the equation for the above information.

length×width×height=Volumeofbox(x8)×4×(x8)=100

Simplify the above equation for x,

(x8)2=25(Divideby4)x8=5x=5+8x=13

Thus, the side of square piece of cardboard is 13 inches.

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