Question

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A carpenter designs two cabinets: one in the shape of an oblique rectangular prism and one in the shape of a right rectangular prism. The volume of each cabinet is 4,608 cubic inches. The oblique rectangular prism is 48 inches tall and has an edge length of 64 inches. The right rectangular prism has a height of 48 inches. Which statements about the cabinets are true? Check all that apply.

A. The cabinets have the same base area.
B. The base area of the oblique prism is smaller than the base area of the right prism.
C. The cabinets may have the same base dimensions.
D. The cabinets may have different base dimensions.
E. The base area of the right prism is smaller than the base area of the oblique prism.

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Answer 1

A. The cabinets have the same base area.

C. The cabinets may have the same base dimensions.

D. The cabinets may have different base dimensions.

Explanation:

Recall what I said. No matter if it is not oblique or is, all the dimensions will still be the same, especially since this problem tells you that BOTH heights are 48 inches tall. That gives you a clue about the rest of the prisms. Sometimes, there may be a slight change in dimensions. Some may be a little wider than others, etcetera.

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