Download Honors Geometry Name________KEY______ Chapter 12 Final

Honors Geometry
Chapter 12 Final Review
Name________KEY____________
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. = ___96 u2___
T.A. = ___224
u2__
2. Circle P is the base of the right circular cone. If the circumference of the circle is 20π and
PAB = 60º, find the lateral area of the cone.

L.A. = __200
u2___
3. Find the lateral area and the total surface area of the regular square pyramid shown.
L.A. = __480 u2___
T.A. = ___1380 u2___
30
30
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 u2___
4
5. Find the total surface area of a sphere whose diameter is 3.
S.A. = 9 u2
6. Given:
EF=5
EH=6
DH=10
(a) What are the coordinates of A, G, and H?
A (5,0,10), G (0,6,0), H (5,6,0)
(b) Find the total surface area of the rectangular prism.
T.A. = __280 u2___
7. Find the lateral area and total surface area of the triangular prism.
4
L.A. = __120 u2____
T.A. = ___120 + 50
u2______
8. Find the total surface area of the given figure.
T.A. = ___252 u2__
12
9. Find the total surface area of the right prism with bases that are equilateral triangles.
T.A. = _8
120 u2___
4
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 u2____
8
11. Find the total surface area of the pyramid (rectangular base).
T. A. = 564 u2
12. Find the volume of the pyramid (rectangular base).
Volume = 720 u3
13. Find the total surface area of the cylinder. The diameter is 15.
S.A. = 232.5 u2
15
17
14. Find the volume of the cylinder.
Volume = 450π u3
15. Find the total area of the cone.
T.A. = 144 u2
8
16. Find the volume of the sphere.
20
Volume =
u3
17. Find the area of one face of a cube whose volume is 216. (Show work for credit!)
edge = 6, side area = 36 u2