Name_________________________________________________________Period_____________Date______________
Surface Area and Volume Test Review
1) Find the surface area of the trapezoidal prism below.
2) Find the surface area of the square pyramid below.
20
17
24 inches
22
14 inches
50
3) Find the surface area of the cylinder. The
circumference of the base is 20π.
6) Sam is filling a rectangular pan with liquid from a
cylindrical can. The can is three-fourths full of water.
Determine whether all of the water will fit in the pan.
Explain.
19
5) Find the volume of the triangular prism below. The
base is a 30-60-90 triangle.
20
60
18
7) Name the three-dimensional figure that can be made from the given net.
____________
____________
____________
8) Find the surface area of the figure below.
9) Find the surface area of the figure below. Both bases
are squares.
10) A king-size waterbed mattress measures 6 ft by 7 ft
by 9 in. Water weighs 62.4 pounds per cubic foot. An
empty mattress weighs 35 pounds. How much does a full
mattress weigh?
11) Earth has a surface area of about 196,937,500 square
miles. Mars has a surface area of about 89,500,000
square miles. How many times longer is the radius of the
earth? Round to the nearest tenth.
12) Major League Baseball or MLB, rules state that
baseballs must have a circumference of 9 inches. The
National Softball Association, or NSA, rules state that
softballs must have a circumference not exceeding 12
inches. Find the ratio of the volume of MLB baseballs to
the volume of NSA softballs. Round to the nearest tenth.
13) A farmer has two similar cylindrical grain silos. The
smaller silo is 25 feet tall and the larger silo is 40 feet tall.
If the smaller silo can hold 1500 cubic feet of grain, how
much can the larger silo hold?
16) Find the total surface area of the figure.
7m
31 m
17) Find the height of a cone if its radius is 16 feet and its lateral area is 544𝜋 square feet.
18) Find the volume of the following rectangular prism (with a cylindrical hole in it).
3 ft
14 ft
6 ft
12 ft
19) Find the volume of a cylinder whose radius is 13 inches and whose total area is 377𝜋 square inches.