# Chapter 10 Test Review.

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Chapter 10 Test Review

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

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

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

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)

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

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

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

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