Question

A storage unit has 750 cubic feet of space. Determine the depth of the unit to the nearest whole number if the measurements of one wall are 9 feet by 12 feet.(1 point)
The depth of the storage unit is approximately
feet.

Answer 1

To find the depth of the storage unit, we can use the formula for the volume of a rectangular prism, which is given by:

\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Depth}
\]

In this case, the volume of the storage unit is 750 cubic feet, the length is 12 feet, and the width is 9 feet. We need to find the depth.

Rearranging the formula gives us:

\[
\text{Depth} = \frac{\text{Volume}}{\text{Length} \times \text{Width}}
\]

Now, substituting in the values:

\[
\text{Depth} = \frac{750 \text{ cubic feet}}{12 \text{ feet} \times 9 \text{ feet}}
\]

Calculating the area of the base (length times width):

\[
12 \text{ feet} \times 9 \text{ feet} = 108 \text{ square feet}
\]

Now, substituting back to find the depth:

\[
\text{Depth} = \frac{750}{108}
\]

Calculating:

\[
\text{Depth} \approx 6.9444 \text{ feet}
\]

Rounding to the nearest whole number, the depth of the storage unit is approximately:

\[
\text{Depth} \approx 7 \text{ feet}
\]

Thus, the depth of the storage unit is approximately **7 feet**.