Geometry Name ______
Chapter 11 Review 1
Show your work! Date ______Per. _____
Find the lateral area and surface area of the following solids.
1. Square prism: the length of a side of the square base is 8 cm and the height of the prism is 20 cm.
2. Hexagonal pyramid: the base is a regular hexagon, the side is 8 in. and the slant height is 5 in.
3. Cone: the radius of the circular base is 8 m and the height (not the slant height) is 6 m.
4. Cube: one side equals 3 mm.
Find the surface area and volume of each sphere.
5. The diameter is 10 feet. 6. The area of the Great 7.
Circle is cm2.
8. The length of the base of a rectangular prism is 4 times the width. If the height of the prism is 10 in and the volume is 160 in3, then find the length of the base.
9. In a right triangular prism, the base is a right triangle with one leg equal to 15 inches and the hypotenuse equal to 17 inches. If the height of the prism is 10 inches, then find its lateral area and surface area.
10. Find the exact value of the volume of a triangular pyramid if the base is an equilateral triangle with one side equal to 6 cm and the height of the pyramid is 4 cm.
11. The surface area of a cube is 384 ft2. Find its volume.
12. The ratio of the surface areas of two similar solids is . If the volume of the larger solid is 200 in3, then what is the volume of the smaller solid?
Find the surface area and volume of each shape. Assume that the polygon bases are regular and angles that look like right angles are right angles. Be sure to label answers and round them to the nearest tenth.
13. 14. 15.
16. 17.