11 Mid-Chapter Quiz

Do you know HOW?

Draw a net for each figure. Label the net with its dimensions.

Find the surface area of each solid. Round to the nearest square unit.

5. cylinder in Exercise 1
6. prism in Exercise 2
7. pyramid in Exercise 3
8. cone in Exercise 4

For Exercises 9–11, use Euler's Formula. Show your work.

9. A polyhedron has 10 vertices and 15 edges. How many faces does it have?
10. A polyhedron has 2 hexagonal faces and 12 triangular faces. How many vertices does it have?
11. How many vertices does the net of a pentagonal pyramid have?

Draw a cube. Shade a cross section of the cube that forms each shape.

12. a rectangle
13. a trapezoid
14. a triangle
15. A square prism with base edges 2 in. has surface area 32  in . 2 . 32 , in , . squared , . What is its height?

Find the surface area of each figure to the nearest whole number.

Do you UNDERSTAND?

20. Open-Ended Draw a net for a regular hexagonal prism.
21. Compare and Contrast How are a right prism and a regular pyramid alike? How are they different?
22. Algebra The height of a cylinder is twice the radius of the base. A cube has an edge length equal to the radius of the cylinder. Find the ratio between the surface area of the cylinder and the surface area of the cube. Leave your answer in terms of π . pi .
23. Error Analysis Your class learned that the number of regions in the net for a solid is the same as the number of faces in that solid. Your friend concludes that a solid and its net must also have the same number of edges. What is your friend's error? Explain.
24. Visualization The dimensions of a rectangular prism are 3 in. by 5 in. by 10 in. Is it possible to intersect this prism with a plane so that the resulting cross section is a square? If so, draw and describe your cross section. Indicate the length of the edge of the square.

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