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GRE Math: Solids and Cylinders Practice Test
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GRE Math: Solids and Cylinders Practice Test
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9 Questions

1. What is the volume, in cubic inches, of a cube whose edges each measure 2 feet?
2. If the volume of a cube equals its surface area, what is the length of an edge of the cube?
3. What is the surface area of a cube whose volume is 125?
4. A certain cylinder with radius, r, and height, h, has the same volume as a cube with edge, e. If the radius of the cylinder equals the edge of the cube, what is h, in terms of e?
5. Three metal cubes with edges of two will be dropped into an empty cylindrical tank with a base radius of 3 and a height of 8. The three cubes will take up what fraction of the volume of the tank?
6. What is the surface area of a cube whose volume is 125?
7. An empty cylindrical tank with a radius of 5 feet and a height of 10 feet is filled with water at a rate of 75 cubic feet per second. Approximately how many seconds will it take for the tank to be full?
8. The length of a certain rectangular solid is doubled, its width is tripled, and its height is quadrupled. The volume of the resulting rectangular solid will be what percent greater than the volume of the original rectangular solid?
9. The length of a certain rectangular solid is doubled, its width is tripled, and its height is quadrupled. The volume of the resulting rectangular solid will be what percent greater than the volume of the original rectangular solid?

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