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Geometry: Solids Homework Packet
Prisms and Cubes
1. A fish tank with a rectangular base has a volume of 3,360 cubic inches.
The length and width of the tank are 14 inches and 12 inches,
respectively. Find the height, in inches, of the tank.
2. Find the surface area of a rectangular prism with height 7 inches, length 3
inches, and width 4 inches.
3. A box in the shape of a cube has a volume of 64 cubic inches. What is
the length of a side of the box?
4. Find the lateral area of a cube whose side measure 5in.
Cylinders
5. Soda is sold in aluminum cans that measure 6 inches in height and 2
inches in diameter. How many cubic inches of soda are contained in a full
can? (Round answer to the nearest tenth of a cubic inch.)
6. A cylindrical container has a diameter of 3 in and a height of 6 in. Find
a. The volume
b. The surface area
c. The lateral area
Cones
7. A cone with a diameter of 8 centimeters has volume 143.6 cubic
centimeters. Find the height of the cone. Round your answer to two
decimal places.
8. The right circular cone below has a radius of 8in and a height of 15in.
Find
a. The slant height
b. The volume
c. The surface area
d. The lateral area
Pyramids
9. A side of the square pyramid below measure 3.7cm and the height is
8.5cm. Find the volume of the pyramid.
10. Find the volume of a rectangular pyramid whose base has sides that
measure 6 and 8 units and has a height of 12 units.
Spheres
11. The sphere appears in nature whenever a surface wants to be as small as
possible. Bubbles are an example of such a surface. If the diameter of a
bubble is known to be 2 mm, what is the surface area of the bubble to the
nearest square mm?
12. The radius of the sphere below is 5.2units. In terms of  find the volume
of the sphere.
Mixed Review
13. The circumference of the base of a right circular cylinder is 10  . If the
volume of the cylinder is 120  cubic units, then the height is
a) 2.4
b) 4.8
c) 4.8
d) 12
14. What is the surface area of a sphere whose volume is
500
cubic units?
3
15. A cone of radius 5 inches has a lateral area of 40 square inches. Find
the slant height of the cone.
16. At the MetroPlex movie theater, popcorn is served in a box. At the
CinemaPlex movie theater, popcorn is served in a cylindrical container. At
home, Mom serves popcorn in a bowl (hemisphere in shape). Based
upon the given dimensions, where are you getting the most popcorn?
(Disregard the thickness of the container.)