To identify the volume of the composite figure, you can divide it in the known figures there, in this case, you can divide the figure in a cube and a pyramid with a square base. Now, we find the volume of each figure and finally add the two volumes.

VOLUME OF THE CUBE.

Finding the volume of a cube is actually simple, you only must follow the next formula:

Volume of a cube = base * height * width

So:

Volume of a cube = 6 ft * 6 ft * 6 ft
Volume of a cube = 216 ft^3

VOLUME OF THE PYRAMID.

The volume of a pyramid with a square base is:

Volume of a pyramid = 1/3 B * h

Where:

B = area of the base.

h = height.

How you can remember, the area of a square is base * height, so B = 6 ft * 6 ft = 36 ft^2, now we can replace in the formula:

Volume of a pyramid = 1/3 36 ft^2 * 8 ft
Volume of a pyramid = 96 ft^3

Finally, we add the volumes found:

Volume of the composite figure = 216 ft^3 + 96 ft^3
Volume of the composite figure = 312 ft^3

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2 years ago