Chapter 9.1, Problem 22E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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A cereal box measures 2 in. by 8 in. by 10 in. What is the volume of the box? How many square inches of cardboard make up its surfaces? (Disregard any hidden flaps.)

To determine

**To find:**

The volume of the cereal box and the number of square inches of cardboard required to make up its surface which measures 2 in. by 8 in. by 10 in.

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

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

The lateral area

Here,

**Calculation:**

Given,

Dimensions of the box is 2 in., 8 in., by 10 in.

Thus, we have.

Now, the volume of the closed box is given by the formula.

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