Question

A fountain is shaped like a rectangular prism. It has a width of 12 feet, a height of 5 feet, and a volume of 840 cubic feet.

What is the length of the fountain?

Responses

7 ft
7 ft

14 ft
14 ft

17 ft
17 ft

60 ft
60 ft

Answer 1

To find the length of the fountain, we can use the formula for the volume of a rectangular prism:

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

In this case, we know the volume is 840 cubic feet, the width is 12 feet, and the height is 5 feet.

Let's denote the length as \(L\). The formula can be rearranged to solve for \(L\):

\[
L = \frac{\text{Volume}}{\text{width} \times \text{height}}
\]

Substituting in the known values:

\[
L = \frac{840}{12 \times 5}
\]

Calculating the denominator:

\[
12 \times 5 = 60
\]

Now, substitute this back into the equation for \(L\):

\[
L = \frac{840}{60}
\]

Calculating the length:

\[
L = 14
\]

So, the length of the fountain is \(14\) feet.

The correct response is:

**14 ft**.