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a rectangular prism has a base with edge length 40 units, edge width 3 units, and height of 30 units. A triangular prism has a right triangular base with legs that are 60 units long and a height of 30 units

User UnSat
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Final answer:

The volume of the rectangular prism is 3600 cubic units and the volume of the triangular prism is 27000 cubic units.

Step-by-step explanation:

The volume of a rectangular prism is found by multiplying the base area by the height. In this case, the base has an edge length of 40 units and edge width of 3 units, so the base area is 40 * 3 = 120 square units. The height of the prism is 30 units. Therefore, the volume of the rectangular prism is 120 * 30 = 3600 cubic units.

The volume of a triangular prism is found by multiplying the base area by the height. In this case, the base of the triangular prism is a right triangle with legs that are 60 units long and a height of 30 units. Therefore, the base area of the triangular prism is 1/2 * base * height = 1/2 * 60 * 30 = 900 square units. The height of the prism is 30 units. Therefore, the volume of the triangular prism is 900 * 30 = 27000 cubic units.

User Buyin Brian
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