To determine the volume of a rectangular prism, we use the formula:
[tex]\[ \text{Volume} = \text{length} \times \text{height} \times \text{width} \][/tex]
Given the dimensions:
- Length = 9 inches
- Height = 6 inches
- Width = 4 inches
We substitute these values into the formula for volume:
[tex]\[ \text{Volume} = 9 \, \text{inches} \times 6 \, \text{inches} \times 4 \, \text{inches} \][/tex]
We multiply these together to find the volume:
[tex]\[ \text{Volume} = (9 \times 6) \times 4 \][/tex]
[tex]\[ \text{Volume} = 54 \times 4 \][/tex]
[tex]\[ \text{Volume} = 216 \][/tex]
Thus, the volume of the rectangular prism is 216 cubic inches.
So, the correct answer is:
D) 216 in. [tex]\( ^3 \)[/tex]
