A right prism has a rhombus as a base. The height of the prism is 6 inches and the volume is 144 cubic inches.Which could be the lengths of the diagonals of the rhombus?

The base area is volume divided by prism height: 144 ÷ 6 = 24 square inches. A rhombus’s area is half the product of its diagonals, so the diagonals must have a product of 48. For 6 inches and 8 inches, 6 × 8 = 48, giving an area of 24 square inches. Therefore, the diagonals could be 6 in. by 8 in.

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