1. Given the corner view of a figure, sketch the front view.
1.
Assessment
NAME
PQRS, PQT, Geo-AS12-037-860189-A
2. Name the faces of the solid.
2.
T
QTR, RTS, PTS
Geo-AS12-030-860189 R Q P
S
3. Sketch the shape of a horizonal cross section of the solid.
Geo-AS12-031-860189
3.
4. Find the lateral area of a triangular prism with a height of 8 centimeters, and with bases having sides that measure Geo-AS12-032-8601894. 4 centimeters, 5 centimeters, and 6 centimeters. 5. Find the surface area of the solid. 1 in.
6. Find the lateral area of a right cylinder with a diameter of 8.6 yards and a height of 19.4 yards. Round to the nearest tenth. Geo-AS12-036-860189 7. The surface area of a cylinder is 180π square inches and the height is 9 inches. Find the radius.
6. 7.
524.1 yd2 6 in.
For Questions 8 and 9, use a regular hexagonal pyramid with base edges of 10 inches and a slant height of 9 inches. 8. Find the lateral area.
8.
270 in2
9.
270 + 150 √ 3 in2
10. Find the lateral area.
10.
62.8 ft2
11. Find the surface area.
11.
113.1 ft2
9. Find the surface area. For Questions 10 and 11, use a right circular cone with a radius of 4 feet and a height of 3 feet. Round to the nearest tenth.
Chapter 12
67
Glencoe Geometry
NAME
12
DATE
Chapter 12 Test, Form 2C
PERIOD
(continued)
12. The volume of a rectangular prism is 120 cubic feet and the area of the base is 60 square feet. Find the length of a lateral edge of the prism.
12.
13. A cylinder has a 12-foot radius and a 17-foot height. Find the volume of the cylinder. Round to the nearest tenth.
13.
14. A regular hexagonal pyramid has a height that is 15 feet and a base 6 feet on each side. Find the volume of the pyramid. Round to the nearest tenth.
14.
8 ft
15. Find the volume of the oblique cone. Round to the nearest tenth.
11 in.
15.
17.
18. What best describes a line in spherical geometry?
18.
Geo-AS12-053-860189 4 in.
467.7 ft3
103.2 ft3
235.6 cm2 16. Geo-AS13-022-860190
17. A sphere has a diameter of 7.36 inches long. Find the volume of the sphere. Round to the nearest tenth.
208.8 in3 great circle
3 in.
19.
neither
20. The ratio of the heights of two similar prisms is 2:7. The surface area of the smaller prism is 50 square meters. Find the surface Geo-AS13-024-860190 area of the larger prism.
20.
612.5 m2
Bonus The length of each side of a cube is 6 inches long. Find the surface area of a sphere inscribed in the cube. Round to the nearest tenth.