Name: Volume Unit Test Review 1] Diamond had a job helping a jeweler. She had the assignment of counting the faces, vertices, and edges on the emeralds. On the first emerald, Diamond counted 12 faces and 9 vertices. How many edges were there on this emerald? 2] Describe the 3-‐dimensional figure that would be created if revolved around the given axis. Revolved around the x – axis Revolved around the y-‐axis Revolved around the line y = 5. ______________________ ______________________ ______________________ 3] Describe the shape of the cross section if: A plane was cut perpendicular A plane was cut parallel to the base of the square pyramid. to the base. ___________________ ___________________ A plane was cut parallel to the base of the square pyramid. _________________ 4] Find the volume of the prism. 5] Find the volume of the prism. 6] The volume of a prism is 512 cubic feet. The area of the base is 32 square fet. What is the height of the prism? 7] The volume of a cylinder is 548.78 cubic inches. If the radius of the cylinder is 5 inches, what is the height? 8] Calculate the volume of the cylinder below. Leave your answer in terms of 𝜋. 9] What is the volume of the figure to the right? 10] Find the volume of the figure below. The base of the solid is a square. 11] What is the volume of the pyramid below? 12] What is the volume of the figure below? Leave answer in terms of 𝜋. 13] Find the total volume of the figure below. Round your answer to the nearest tenth. 14] Find the total volume of the figure below. Round your answer to the nearest tenth. 15] Find the total volume of the shed below. Round your anwer to the nearest tenth. 16] Cement is purchased by the cubic foot and costs $15 per square foot. How much will it cost to fill a patio that is 15 feet wide, 2 feet deep, and 20 feet long?
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