Answer:
2880 in³
Step-by-step explanation:
We can first split this prism into two rectangular prisms. The first one, the bottom portion of the steps, will have dimensions 16 in x 20 in x 6 in; this makes the volume
16(20)(6) = 1920 in³
The top part have a width of 8 inches. This is because the entire width of the bottom is 16; the part from where the top step ends to the other side is 8 inches of it. This leaves 16-8 = 8 inches for the width.
The length will be 20, just as the length of the entire set of steps is.
The height will be 6; this is because the total height of the steps is 12 inches, and the height of only the bottom step is 6; this leaves 12-6 = 6 steps.
This gives us 8 in x 20 in x 6 in, giving us
8(20)(6) = 960 in³
This makes the total volume
1920+960 = 2880 in³
