4. Find the volume and total area of a rectangular prism which is 20 inches high, and the dimensions ofthe base are 8 inches by 9 inches respectively.5. The dimensions of a rectangular parallelepiped are in a ratio of 1:3:4. If the volume is 9,000 cubicmeters, find its dimensions.6. A refrigerator is built in the form of a rectangular parallelepiped. The inside dimensions are 1m by0.86m by 0.6m. Find the capacity of the refrigerator if the freezing unit whose dimensions are 0.37m by0.27m by 0.23m is subtracted from the storage room.

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Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Yasmin stacks three blocks (shaped like rectangular prisms). The height of each block = 1 in. The blocks are labeled A, B, and C. The length of block B is 1/2 of the length of block A, and the width of block B is 1/2 of the width of block A. The length of block C is 1/2 of the length of block B, and the width of block C is 1/2 of the width of block B. The volume of block A is 80 in³. What is the total combined volume of blocks A, B, and C?
The street department's storage building, which is used to store the rock, gravel, and salt used on the city's roadways, is built in the shape of a regular hexagonal pyramid. The altitude of the pyramid has the same length as any side of the base. If the volume of the interior is 13,612 ft³, find the length of the altitude and of each side of the base to the nearest foot. altitude ft ft side of the base
Jemma is wrapping a pyramid-shaped gift for her brother. The package has a rectangular base with sides of 9 and 6.5 inches and is 7 inches tall. The slant height to the 6.5-inch side of the base is 8.1 inches, and the slant height to the 9-inch side of the base is 7.7 inches. 7.7 in 8.1 in 6.5 in 9 in 1. What is the surface area of the pyramid? 2. Allowing for 20% overage, how much wrapping paper does Jemma need? 3. A roll of wrapping paper costs $5.25 and covers 288 square inches. Rounded up to the nearest whole roll, how many rolls should Jemma purchase, and how much will it cost?
27.) What is the volume of a rectangular prism whose edges measure 2 feet, 2 feet, and 3 feet?
The daycare has two sandboxes that are both prisms with regular hexagons as their bases. The smaller sandbox has a base area of 1,146 square inches and is filled 10 inches deep with sand. It took 14 bags of sand to fill the small sandbox to this depth. What volume of sand comes in one bag? (Round to the nearest whole cubic inch.)

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4. Find the volume and total area of a rectangular prism which is 20 inches high, and the dimensions of the base are 8 inches by 9 inches respectively.