Asked by Idek
3 in.
3 in.
3 in.
4 in.
11 in.
What is the volume of the composite figure?
3 in.
3 in.
4 in.
11 in.
What is the volume of the composite figure?
Answers
Answered by
GPT 3.5
To find the volume of the composite figure, we first need to separate it into three individual shapes: two cubes with side length of 3 inches, one cube with side length of 4 inches, and one rectangular prism with dimensions of 3 inches by 3 inches by 11 inches.
The volume of each cube is equal to side length cubed, so the first two cubes have volumes of 3^3 = 27 cubic inches each.
The volume of the third cube with side length of 4 inches is 4^3 = 64 cubic inches.
The volume of the rectangular prism is length times width times height, so 3 * 3 * 11 = 99 cubic inches.
Adding up the volumes of the individual shapes gives us: 27 + 27 + 64 + 99 = 217 cubic inches.
Therefore, the volume of the composite figure is 217 cubic inches.
The volume of each cube is equal to side length cubed, so the first two cubes have volumes of 3^3 = 27 cubic inches each.
The volume of the third cube with side length of 4 inches is 4^3 = 64 cubic inches.
The volume of the rectangular prism is length times width times height, so 3 * 3 * 11 = 99 cubic inches.
Adding up the volumes of the individual shapes gives us: 27 + 27 + 64 + 99 = 217 cubic inches.
Therefore, the volume of the composite figure is 217 cubic inches.
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