Question

A box has a length of 3 feet, a width of 312
feet and a height of 2 14
feet.

What is the volume of this box? Write your final answer as a decimal.

(1 point)
Responses

18.75 cubic foot
18.75 cubic foot

23.625 cubic foot
23.625 cubic foot

23.04 feet
23.04 feet

8.75 cubic feet
8.75 cubic feet
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Answer 1

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:

1. First, multiply the length and width:
\[
3 \times 312 = 936 \, \text{square feet}
\]

2. 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.