To determine how much sand will fill Peter's rectangular sandbox, we need to calculate the volume of the sandbox. This can be done using the formula for the volume of a rectangular prism, which is:
[tex]\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \][/tex]
Given the dimensions:
- Length = 4 feet
- Width = 5 feet
- Height = [tex]\( 1 \frac{1}{2} \)[/tex] feet (which can be written as 1.5 feet)
We substitute these values into the formula:
[tex]\[ \text{Volume} = 4 \times 5 \times 1.5 \][/tex]
Carrying out the multiplication:
[tex]\[ 4 \times 5 = 20 \][/tex]
Then,
[tex]\[ 20 \times 1.5 = 30 \][/tex]
Therefore, the volume of the sandbox is 30 cubic feet.
So the correct answer is:
[tex]\[ 30 \, \text{ft}^3 \][/tex]
