To calculate the volume of the box, you can use the formula for the volume of a rectangular prism:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
Given:
- Length = 3 feet
- Width = 312 feet
- Height = 2 14 feet
First, let's convert the height from mixed number form to an improper decimal:
- The height in mixed number is \(2 \frac{1}{4}\).
- This can be converted to decimal as follows:
- \(2 = 2.00\)
- \(\frac{1}{4} = 0.25\)
So, \[ \text{Height} = 2 + 0.25 = 2.25 \text{ feet} \]
Now we can calculate the volume:
\[ \text{Volume} = 3 , \text{feet} \times 312 , \text{feet} \times 2.25 , \text{feet} \]
Calculating step by step:
-
First, multiply the length and width: \[ 3 \times 312 = 936 , \text{square feet} \]
-
Now multiply this result by the height: \[ 936 \times 2.25 = 2106 , \text{cubic feet} \]
Thus, the volume of the box is 2106 cubic feet. If we follow the provided choices for responses, it seems none of them present this value, indicating a potential mismatch in the problem's parameters or options given.