Question

A water tank is built in the form of a right rectangular prism, with dimensions that measure 12.9 ft by 8.6 ft by 8.4 ft. How many cubic feet of water would it hold when it is full? Round your answer to the nearest tenth if necessary.

Answer 1

To find the volume of a right rectangular prism, you can use the formula:

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

In this case, the dimensions of the water tank are:

- Length = 12.9 ft
- Width = 8.6 ft
- Height = 8.4 ft

Now, substituting these values into the formula:

\[
\text{Volume} = 12.9 \, \text{ft} \times 8.6 \, \text{ft} \times 8.4 \, \text{ft}
\]

First, calculate \(12.9 \times 8.6\):

\[
12.9 \times 8.6 = 110.868
\]

Next, multiply that result by 8.4:

\[
110.868 \times 8.4 = 930.9
\]

Thus, the volume of the water tank is:

\[
\text{Volume} = 930.9 \, \text{cubic feet}
\]

So, the tank would hold approximately **930.9 cubic feet** of water when full.