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Date______
Name_________________________
Review of Solids
C
D
B
1) In the figure at left, BC = 5, AF = 7 and DH = 8.
E
G
H
F
A
a) Find the lateral area.
C
D
b) Find the total surface area
1.
c) Find the volume
In the right triangular prism at right, CED is a right
triangle. CE = 9, DE = 12, and DA =9.
a) What is the length of CD?
E
A
B
F
c) Find the lateral area.
b) Find the area of triangle CDE.
d) Find the total area.
e) Find the volume.
B
2. In the right triangular prism at right, ABC is an
equilateral triangle. AC = 5, CE = 8.
C
A
a) Find the area of triangle ABC
E
D
F
b) Find the lateral area.
volume.
A
c) Find the total surface area.
C
d) Find the
3. If the cylinder at right AC = 7, and CB = 5.
B
a) Find the lateral area
b) find the total area
5. In the regular square pyramid at right, EG = 12, and AD = 10.
E
a) Find EF
b) Find the lateral area
B
C
F
A
c) Find the volume.
G
D
b) Find the total surface area.
c) find the volume
C
6. In the cone at right, AB = 15 and CA = 36.
a) Find CB.
b) Find the lateral surface area.
D
A
B
c) Find the total surface area.
d) Find the volume.
7. a) In a sphere, if the radius is 12, find the surface area.
b) Find the volume.
8. In a sphere, if the surface area is 615.75
a) Find the radius
b) Find the volume.
9) The lateral area of a cylinder is 18. If the height is 6, find the radius.
10) The volume of a cylinder is 72. If the height is 8, find the lateral area.
11) Find the area of a circle formed when a plane passes 2 cm from the center of a sphere
with a radius of 5.
12) Find the surface area of a hemisphere with a radius of 8.
13) A perfectly spherical scoop of ice cream with a diameter of 6 cm is placed on top of a
cone with a diameter of 5cm and a height of 12 cm. Is the cone big enough to hold all of the
ice cream if it melts? (Assume none of the ice cream drips outside the cone)
14) A silo of a barn consists of a cylinder capped by a hemisphere. The hemisphere has a
diameter of 10m and the height of the cylinder is 20m. Find the volume of the silo.
15. Find the lateral area, total area, and volume of the right pentagonal prism below.