GeometryName ______
Chapter 11 pretest
Show work to receive credit!Date ______Per. ______
For problems 1 through 12, find the lateral area and surface area for each shape.
Right Prisms
1. The base of a rectangular prism is 10 cm. by 6 cm. and is 12 cm. tall.
2. The base of a triangular prism is an isosceles triangle with a base of 6 in. and two legs each equal to 5 in. The height of the triangular base is 4 inches. The height of the prism is 15 inches.
3. The base of a trapezoidal prism is 24 cm. tall with bases equaling 10 cm. and 35 cm. The perimeter of the base is 100 cm. The height of the prism is 10 cm.
4. A cube has one side equaling 2 feet.
5. The base of a regular pentagonal prism has an apothem of 6 in. The height of the prism is 10 in.
Right Cylinders
6. The diameter of the circular base is 4 mm. and is 10 mm. tall.
Right Pyramids
7. The base of the rectangular pyramid is 4 in. by 8 in. with a slant height of 10 in.
8. One side of the base of a square pyramid is 8 mm., and the height of the pyramid is 3 mm.
9. The base of a triangular pyramid is a right triangle with a hypotenuse of 20 cm. and one leg equal to 16 cm. The slant height is 12 cm.
10. The base of the regular hexagonal pyramid has one side equal to 12 in. The slant height is 10 in.
Right Cones
11. The diameter of the circular base is 6 cm., and the slant height is 10 cm.
12. The radius of the circular base is 5 in., and the height of the cone is 12 in.
Spheres
13. Find the surface area of a sphere with a radius of 10 feet.
For problems 14 through 16, find the missing value in each situation.
14. The perimeter of the base of a square pyramid is 12 feet. The volume is 27 ft3. Find the height of the pyramid.
15. The length of the base of a rectangular prism is four times as long as the width. The perimeter of the base is 30 cm. The volume of the prism is 252 cm3. Find the height of the prism.
16. Two pyramids are similar with two corresponding sides having measures of 6 in. and 8 in. respectively.
a) What is the ratio of the perimeters of the two pyramids?
b) What is the ratio of the surface areas of the two pyramids?
c) What is the volume of the larger pyramid if the smaller one has a volume of 243 in3?
For problems 17 through 28, find the volume of each shape.
17.18.19.
20.21.22.
23.24.25.
26. 27.28.