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Mathematics, 10.05.2021 05:10 EllaSue

3. A prism has a right triangular base with legs of 2 and 6 inches, meaning the legs are the base and height of the triangle. The height of the prism is 4 inches. What is the volume of the prism?

12 inches

24 inches

32 inches

48 inches

4. You are choosing between two different cheese wedges at the grocery store. Assume both wedges are triangular prisms with bases that are isosceles triangles. The first wedge has a base that is 2.5 in. wide and a height of 4.5 in., with the entire wedge being 3 inthick. The second wedge has a base that is 3 in. wide and a height of 4 in., with the entire wedge being 3.5 in. thick. Which wedge has a greater volume of cheese, and by how much?

A. The first wedge by 6.375 cubic inches

B. The first wedge by 12.75 cubic inches

C. The second wedge by 8.25 cubic inches

D. The second wedge by 4.125 cubic inches

5. A triangular prism has a base area of 43 square meters and a volume of 645 cubic meters. What is the height of the prism?

A. 12 m

B. 15 m

C. 25 m

D. 32 m

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