Chapter 9.1, Problem 23E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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The measures of the sides of the square base of a box area twice the measure of the height of the box. If the volume of the box is 108 in^{3}, Find the dimensions of the box.

To determine

**To find:**

The dimensions of a box such that the measure of the sides of the square base of the box is twice the measure of the height of the box. The volume of the box is

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

**Calculation:**

Given,

A box with square base and the measure of the side of the box is twice the measure of the height of the box.

Volume of the box

Let â€˜

We have,

Side of the base

Here, the length, width, and height of the box are given by

Also

The volume of the cuboid box of length â€˜

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