To find the volume of the kitchen cabinet, you can use the formula for the volume of a rectangular prism, which is:
\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]
In this case:
- Length = 36 inches
- Width (depth) = 12 inches
- Height = 40 inches
Calculating the volume:
\[ \text{Volume} = 36 , \text{inches} \times 12 , \text{inches} \times 40 , \text{inches} \]
First, compute the area of the base:
\[ 36 \times 12 = 432 , \text{inches}^2 \]
Now multiply by the height:
\[ 432 , \text{inches}^2 \times 40 , \text{inches} = 17,280 , \text{inches}^3 \]
So the volume of the kitchen cabinet is:
\[ 17,280 , \text{inches}^3 \]
Thus, the correct response is 17,280 in.³ or 17,280 in. cubed.