To find the volume of a kitchen cabinet, you can use the formula for the volume of a rectangular prism:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
In this case, the dimensions are:
- Length = 36 inches
- Depth (Width) = 12 inches
- Height = 40 inches
Now, substituting the values into the formula:
\[ \text{Volume} = 36 , \text{in.} \times 12 , \text{in.} \times 40 , \text{in.} \]
Calculating this step-by-step:
-
Calculate \(36 \times 12\): \[ 36 \times 12 = 432 \]
-
Now multiply that result by 40: \[ 432 \times 40 = 17,280 \]
Thus, the volume of the kitchen cabinet is \(17,280 , \text{in.}^3\).
The correct response is 17,280 in. cubed.