Question 9 of 15

Victor has a garden box that is [tex]\(3 \frac{1}{2}\)[/tex] feet long, 4 feet wide, and 1 foot deep. How many cubic feet of dirt does he need to fill the garden box completely?

A. 5
B. 14
C. 7
D. 8



Answer :

To determine how many cubic feet of dirt Victor needs to fill his garden box completely, follow these steps:

1. Identify the dimensions of the garden box:
- Length: 3½ feet (which can also be written as 3.5 feet)
- Width: 4 feet
- Depth: 1 foot

2. Understand the formula for calculating the volume of a rectangular prism (which is the shape of the garden box):
[tex]\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Depth} \][/tex]

3. Substitute the given dimensions into the formula:
[tex]\[ \text{Volume} = 3.5 \text{ feet} \times 4 \text{ feet} \times 1 \text{ foot} \][/tex]

4. Perform the multiplication:
[tex]\[ 3.5 \times 4 = 14.0 \][/tex]

Thus, the garden box requires 14.0 cubic feet of dirt to fill it completely. Therefore, the correct answer is:
B. 14