Answer:
The volume of the composite figure is:
Step-by-step explanation:
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
