Answer :

The volume of this figure is 4,320 cubic inches. Break up the figure layer by layer.

Bottom layer: 24 x 15 x 6 = 2,160
Second layer: 16 x 15 x 6 = 1,440
Top layer: 8 x 15 x 6 = 720

Then add them all up to get 4,320 cubic inches
ANSWER: 4320 cubic inches

we can find the total volume by finding the separate volumes of each rectangular prism.

formula for prism’s volume: l*w*h

starting from the topmost prism:
We can see that the length is 15 inches and the height is 6 inches. The width of the bottom prism is 24, and we can see that the width of the bottom prism that extends past the width of the top prism = 16 inches. This means that the width of the top prism can be found by subtracting 16 (the excess width) from 24 (the bottom prism’s width).

24 - 16 = 8

15*8*6 = 720 cubic inches

The second base is only 8 inches skinnier than the bottom prism, meaning that the width of it is 16. The length and height are the same as the top prism, as shown on the diagram.

15*16*6 = 1440 cubic inches

the length, width, and height are all given, so we can go ahead and find the volume of the bottom rectangular prism.

15*24*6 = 2160

Now that we’ve found all three prisms’ volumes, we can add them up to find the total prism.

2160 + 1440 + 720 = 4320 cubic inches

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