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Elementary Geometry for College St...

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

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?

Chapter 9.1, Problem 39E, Kristine creates an open box by cutting congruent squares from the four corners of a square piece of

To determine

To find:

The volume of the box formed by folding and sealing the flaps.

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,

Length of the square price of cardboard =24 in.

The measures of the congruent squares that are removed from the four corners =6 in. become the height of the box formed.

Also, the length and width of the base of the box is given by subtracting the lengths of the square piece which are removed from the length of the cardboard.

Thus,

l=24-6+6=24-12=12 in

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