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.
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What is the volume of the composite figure?
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3 answers