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Geometry
Name ________________________
Ch. 11: Surface Area and Volume
11-8 Practice: Similar Solids
Date ________________ Per. _____
Relationships of Similar Solids
Two similar cylinders have radii measuring 6 inches and 8 inches respectively.
1. What is the scale factor?
2. What is the ratio of the surface areas?
3. What is the ratio of the volumes?
4. If the volume of the smaller cylinder is 2400 in3, what is the volume of the other one?
5. The ratio of the volumes of two similar pyramids is
27
64
. If the surface area of the
larger pyramid is 400 square millimeters, what is the surface area of the other one?
6. The ratio of the surface areas of two similar prisms is
81
64 .
If the volume of the
smaller prism is 900 cm3, what is the volume of the other one?
Two similar cubes have a scale factor of
12
5.
7. The length of an edge of the larger cube is 30 cm. Find the length of the
corresponding edge on the smaller cube?
8. What is the surface area of the larger cube?
9. What is the ratio of their volumes?
10. What is the volume of the smaller cube?
Chapter 11 Review
11. The base of a regular octagonal pyramid has one side equal to 5 in. with a slant height
of 10 in. Find the lateral area.
12. The base of a cylinder has a diameter equal to 10 cm and is 5 cm tall. Find the surface
area.
13. The base of a rectangular prism is 10 in. by 4 in. and is 6 in. tall. Find the volume.
14. What is the volume of a sphere if area of the Great Circle is 100  mm2?
15. The surface area of a cube is 486 square inches. What is its volume?
16. The area of the base of a cylinder is 25  mm2. Find the height of the cylinder if its
volume is 425  mm3.
17. The perimeter of the base of a rectangular prism is 42 cm. The length is 3 inches
more than its width. Find the height of the prism if the volume is 1296 cm3.
18. A pyramid has a base that is a right triangle with one leg measuring 15 mm and the
hypotenuse measuring 17 mm. If the volume of the pyramid is 140 mm3, how tall is it?
Find the surface area and volume of each solid. Leave answers in pi form.
19.
20.
4 mm
10 cm
12 cm
4 mm
Find the volume of each solid. Round answers to the nearest tenth.
4 mm
21.
22.
17 in
8 mm
8 mm
10 in
18 in
16 in