Let's solve this step-by-step.
1. Identify the Dimensions of the Tank:
- Length: 3.1 feet
- Width: 7.5 feet
- Height: 7.2 feet
2. Calculate the Volume of the Tank:
- To find the volume of a rectangular prism, use the formula:
[tex]\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\][/tex]
3. Plug In the Dimensions:
- [tex]\[
\text{Volume} = 3.1 \, \text{ft} \times 7.5 \, \text{ft} \times 7.2 \, \text{ft}
\][/tex]
4. Compute the Volume:
- [tex]\[
\text{Volume} = 167.4 \, \text{cubic feet}
\][/tex]
5. Round the Result to the Nearest Tenth:
- The volume is already calculated as 167.4 cubic feet, which is already rounded to the nearest tenth.
Therefore, the water tank would hold 167.4 cubic feet of water when it is full.
