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

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, convert all dimensions to decimal form:

• Length = 3 feet (no change needed)
• Width = 3 1/2 feet = 3 + 0.5 = 3.5 feet
• Height = 2 1/4 feet = 2 + 0.25 = 2.25 feet

Now, plug in the values:

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

Now, calculate:

1. First, calculate \(3 \times 3.5 = 10.5\).
2. Then, calculate \(10.5 \times 2.25\).

To calculate \(10.5 \times 2.25\):

\[ 10.5 \times 2.25 = 23.625 \]

So, the volume of the box is \(23.625\) cubic feet.

Therefore, the final answer is:

23.625 cubic feet.