Question

A box has a length of 3 feet, a width of 3 1/2
feet and a height of 2 1/4
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

Answer 1

To find the volume of the box, you can use the formula for the volume of a rectangular prism, which is:

\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]

First, let's convert all the dimensions to decimals:

- Length: \( 3 \) feet (this is already in decimal form)
- Width: \( 3 \frac{1}{2} \) feet = \( 3.5 \) feet
- Height: \( 2 \frac{1}{4} \) feet = \( 2.25 \) feet

Now plug the values into the volume formula:

\[
\text{Volume} = 3 \times 3.5 \times 2.25
\]

Calculating step-by-step:

1. Calculate \( 3 \times 3.5 = 10.5 \)
2. Then multiply that by \( 2.25 \):

\[
10.5 \times 2.25 = 23.625
\]

So, the volume of the box is \( \mathbf{23.625} \text{ cubic feet} \).

The correct response is:
**23.625 cubic foot**.