Question

Use the image to answer the question.

An illustration shows a rectangular prism, placed vertically, on the top corner of a larger cube. The length and width of the prism is 1 foot respectively and the height is 3 feet. The sides of the cube are 3 feet.

What is the volume of the composite figure?

(1 point)
ft.3
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1 answer

The volume of the rectangular prism can be calculated as length x width x height = 1 foot x 1 foot x 3 feet = 3 cubic feet.

The volume of the cube can be calculated as side length x side length x side length = 3 feet x 3 feet x 3 feet = 27 cubic feet.

Therefore, the volume of the composite figure is the sum of the volumes of the prism and the cube: 3 cubic feet + 27 cubic feet = 30 cubic feet.

So, the volume of the composite figure is 30 ft.3.
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