1. Chapter 10 Test Review

2. Formulas 1. Euler’s Formula 2. Length of Diagonal in 3-D
3. Distance in 3-D
4. Midpoint in 3-D
5. Surface area of a prism
6. Surface area of a cylinder
7.Surface area of a pyramid
8. Surface area of a cone
9. Surface area of a sphere
10. Volume of a sphere
11. Volume of a prism
12. Volume of a cylinder
13. Volume of a pyramid
14. Volume of a cone
1. V – E + F = 2
2. √(l2 +w2 + h2)
3. √(x2 - x1)2 + (y2 – y1)2 + (z2 – z1)2
4. (x2 + x1/2, y2 + y1/2, z2 + z1/2)
5. Ph + 2B
6. 2∏rh + 2∏r2
7. ½ Pl + B
8. ∏rl + ∏r2
9. 4∏r2
10. 4/3∏r3
11. Bh
12. ∏r2h
13. 1/3 Bh
14.1/3 ∏r2h

3. 1. Describe the three-dimensional figure that can
1. Describe the three-dimensional figure that can be made from this net.
Rectangular pyramid

4. 2. Find the number of vertices, edges, and faces of the polyhedron
2. Find the number of vertices, edges, and faces of the polyhedron. Use your results to verify Euler’s formula.
V = 8; E = 12; F = 6;
8 – = 2

5. Find the unknown dimension in each figure
Find the unknown dimension in each figure. Round to the nearest tenth, if necessary.
3. the height of a rectangular prism with a 20 cm by 12 cm base and a 30 cm diagonal
4. (4, 5, 8) and (0, 14, 15). Find the midpoint of the segment with the given endpoints. Round to the nearest tenth, if necessary.
18.9 cm
M (2, 9.5, 11.5)

6. Find the lateral area and surface area of each figure
Find the lateral area and surface area of each figure. Round to the nearest tenth, if necessary.
5. a regular triangular pyramid with base edge length 12 cm and slant height 10 cm
L = 180 cm2; S ≈ cm2

7. 6. Find the surface area of the composite figure
6. Find the surface area of the composite figure. Give your answer in terms of .
S = 24 ft2

8. Find the volume of each figure
Find the volume of each figure. Round to the nearest tenth, if necessary.
7. a regular pentagonal prism with edge length 10 ft and height 10 ft
8. a cylinder with diameter 16 in. and height 7 in.
V  ft3
V  in3

9. Find the volume of each figure
Find the volume of each figure. Round to the nearest tenth, if necessary.
9. a cone with diameter 22 cm and height 30 cm
10. an octagonal pyramid with side length 20 cm and height 15 cm
V  cm3
V  cm3

10. Find each measurement. Give your answers in terms of .
11. the volume and surface area
of the sphere
V = 36 cm3; S = 36 cm2

11. 12. Find the volume and surface area of the composite figure
12. Find the volume and surface area of the composite figure. Give your answer in terms of .
V = 522 ft3; S = 267 ft2