Honors Geometry Name________KEY____________Chapter 12 Final Review Date__________Period___________

WRITE ALL FORMULAS USED AND SHOW ALL WORK. NO WORK-NO CREDIT!

1. If the base (circle O) of the right circular cylinder shown has a circumference of 16π and OA=10, find the lateral area and the total surface area.

L.A. = ___96π u 2 ___ T.A. = ___224π u 2 __

2. Circle P is the base of the right circular cone. If the circumference of the circle is 20π and Ð PAB = 60º, find the lateral area of the cone.

L.A. = __200π u 2 ___

3. Find the lateral area and the total surface area of the regular square pyramid shown.

L.A. = __480 u 2 ___ T.A. = ___1380 u 2 ___

4. Find the total surface area (inside and outside) of the box. The top is open. Do not forget the interior surfaces.

T.A. = ___96 u 2 ___

5. Find the total surface area of a sphere whose diameter is 3.

3030

4

S.A. = 9π u2

6. Given: EF=5 EH=6 DH=10

(a) What are the coordinates of A, G, and H?

(b) Find the total surface area of the rectangular prism.

T.A. = __280 u 2 ___

7. Find the lateral area and total surface area of the triangular prism.

L.A. = __120 u 2 ____ T.A. = ___120 + 50√3u 2 ______

8. Find the total surface area of the given figure.

T.A. = ___252π u 2 __

9. Find the total surface area of the right prism with bases that are equilateral triangles.

T.A. = _8√3+¿120 u 2 ___

10. Find the total surface area of the right square-based pyramid with a base edge of 6 and a slant height of 4.

T.A. = ___84 u 2 ____

4

12

4

8

A (5,0,10), G (0,6,0), H (5,6,0)

11. Find the total surface area of the pyramid (rectangular base).

12. Find the volume of the pyramid (rectangular base).

13. Find the total surface area of the cylinder. The diameter is 15.

14. Find the volume of the cylinder.

15. Find the total area of the cone.

16. Find the volume of the sphere.

17. Find the area of one face of a cube whose volume is 216. (Show work for credit!)

17

15

20

8

T. A. = 564 u2

Volume = 720 u3

S.A. = 232.5π u2

Volume = 450π u3

T.A. = 144π u2

Volume = 4000

3πu3

edge = 6, side area = 36 u2