Geometry B Test

15. Board feet is a measurement of lumber volume. A board foot is equal to 144 in3 of wood. About how many board feet is a piece of lumber that measures 2 in. by 8 in. by 12 ft?

a. 22 board feet

b. 6.5 board feet

c. 1.3 board feet

d. 16 board feet

16. What is the volume of a sphere with a surface area of 25π yd2?

17. What is the volume of a sphere with a radius of 8 mm? Round the answer to the nearest whole number.

a. 268 mm3

b. 2,145 mm3

c. 804 mm3

d. 1,072 mm3

18. The volumes of two similar solids are 125 cm3 and 1,000 cm3. The surface area of the smaller solid is 150 cm2. What is the surface area of the larger solid?

a. 375 cm2

b. 300 cm2

c. 275 cm2

d. 600 cm2

19. The surface areas of two similar solids are 312 ft2 and 1,198 ft2. The volume of the smaller solid is 239 ft3. What is the volume of the larger solid?

a. 702 ft3

b. 917 ft3

c. 1,798 ft3

d. 239 ft3

20. Using Euler’s Formula (F + V = E + 2), find the number of faces.

Vertices: 16

Edges: 37

Faces: ?

a. 23

b. 26

c. 24

d. 22

What is the surface area of the cylinder?

a. 378π ft2

b. 540π ft2

c. 594π ft2

d. 216π ft2

22. Two square pyramids have the same volume. The first pyramid has base edge 20 in. and height 21 in. The second pyramid has height 84 in. What is the base edge of the second pyramid?

a. 10 in.

b. 42 in.

c. 28 in.

d. 21 in.

23. Mario’s company makes unusually shaped imitation gemstones. One gemstone has 10 faces and 12 vertices. How many edges does the gemstone have?

a. 23

b. 20

c. 25

d. 22

24.  What is the slant height of the pyramid to the nearest tenth?

a. 12.5 mm

b. 13.9 mm

c. 15.5 mm

d. 19.0 mm

25. What is the surface area of the right prism?

a. 48 ft2

b. 92 ft2

c. 46 ft2

d. 70 ft2

26. What is the volume of the cone to the nearest tenth?

a. 552.9 m3

b. 829.4 m3

c. 1,244.1 m3

d. 1,520.5 m3

27. What is the volume of the pyramid?

a. 8,704 ft3

b. 1,280 ft3

c. 4,624 ft3

d. 34,816 ft3

28. What is the volume of a rectangular prism whose edges measure 3 ft, 3 ft, and 2 ft?

a. 11 ft3

b. 18 ft3

c. 8 ft3

d. 22 ft3

29. A(n) _____ is the intersection of a solid and a plane.

a. face

b. cross section

c. edge

d. vertex

30. What is the surface area of the pyramid?

a. 528 ft2

b. 800 ft2

d. 736 ft2

e. 608 ft2

31. What is the surface area of the cylinder?

a. 66π ft2

b. 54π ft2

c. 72π ft2

d. 57π ft2

32. What is the surface area of a sphere with a diameter of 16 cm?

a. 32π cm2

b. 1,024π cm2

c. 128π cm2

d. 256π cm2

33. What is the volume of the square pyramid? Round to the nearest tenth.

a. 718.7 cm3

b. 1,078.0 cm3

c. 51.3 cm3

d. 199.7 cm3

34. What is the surface area of the right prism?

a. 960 in2

b. 1,920 in2

c. 1,152 in2

d. 1,344 in2

35. The volume of a cylinder is 375π cm3. The height is 15 cm. What is the radius of the cylinder?

a. 5 cm

b. 10 cm

c. 25 cm

d. 12.5 cm