TEAS ATI Mathematics Practice Test 2026 - Free Essential Academic Skills Practice Questions and Study Guide

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A box has a square base of 5 feet in length, a width of 5 feet, and a height of h feet. If the volume of the rectangular solid is 200 cubic feet, which equation may be used to find h?

5h = 200

5h² = 200

25h = 200

To determine the correct equation to find the height \( h \) of the box, we start with the formula for the volume of a rectangular solid, which is given by:

\[

\text{Volume} = \text{length} \times \text{width} \times \text{height}

\]

In this scenario, the dimensions of the box are defined as follows: the length is 5 feet, the width is also 5 feet, and the height is \( h \) feet. Plugging in these values into the volume formula gives us:

\[

\text{Volume} = 5 \times 5 \times h

\]

This simplifies to:

\[

\text{Volume} = 25h

\]

Since we know the volume of the box is 200 cubic feet, we set the equation equal to 200:

\[

25h = 200

\]

This equation, \( 25h = 200 \), allows us to isolate \( h \) by dividing both sides by 25, which leads us to finding the height of the box.

This is why the equation \( 25h = 200 \) is suitable for finding \( h \) in this

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h = 200 ÷ 5

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