Name: ______________________________________________________ Date: _______________________________________ Period: _____________
Test Review – 3D Figures Surface Area and Volume
1. What is the cost of covering the total surface
area of the prism below with foil that costs
$0.25 per square inch?
$187.50
3. Jeremiah’s parents are painting the walls of his
bedroom. They will not paint the door, which
measures 5.5 feet tall and 4 feet wide. They will
not paint the one window in the room, which
measures 6 feet wide and 4 feet tall.
If the diagram represents the dimensions of the
bedroom, approximately how much paint is
needed?
290 Square Feet
4. What is the volume of the figure below?
2. A triangular pyramid has a height of
9.2 yards and a base with an area of
31.5 square yards. What is the volume
of the pyramid?
96.6 Cubic Yards
72 Cubic Feet
5. A chef makes cakes shaped like triangular
pyramids. Each face of the pyramid is an
equilateral triangle with side lengths of 4 inches
and height of 2.75 inches. Icing costs $0.05 to
cover 1 square inch. How much does it cost to
cover the lateral area of each triangular
pyramid with icing?
8. A builder is creating a replica of the Egyptian
Pyramid for a theme park in Las Vegas. The
replica will consist of four equilateral triangles
as shown below.
$.83
6. Tom is making boxes. He starts with the
rectangular prism shaped box which is shown
below.
He plans to paint all lateral walls with gold
paint. How many square feet of paint will he
need?
4680 Square Feet
If Tom cuts off an 3.5 inch strip around the top
of the box, what is the volume of the new box?
1450 Cubic Inches
7. The triangular prism below has a volume of 72
cubic feet.
Using the diagram, what is the height of the
triangular base?
6 feet
Michelle wants to cover a cardboard box with
glitter. The box is a rectangular prism measuring
4.5 inches tall, 6 inches wide, and 7 inches long.
Each tube of glitter covers 50 square inches.
How many tubes of glitter will Michelle need?
A.
B.
C.
D.
E.
5 tubes
6 tubes
7 tubes
8 tubes
4 Tubes
9. What is the volume and lateral surface area of
the figure below?
11. Jimmy has a set of wooden blocks that are
shaped like rectangular prisms. Each block is 5
centimeters long, 4 centimeters wide and 2
centimeters high. How many of these blocks
would be needed in order to fill a box that is 20
centimeters long, 15 centimeters wide, and 10
centimeters high?
75 Blocks
TOTAL VOLUME:
114.7 Cubic cm
12. The US postal service has the boxes below for
purchase to ship odd shaped packages.
LATERAL SURFACE AREA:
119.88 Square cm
10. James has a piñata in the shape of a pyramid
with a triangle base. He wants to determine
how many cubic centimeters of space he has to
fill with candy. He already calculated the area of
the base of the piñata as 22.5 in.2 .
Which of the boxes has the greater volume?
Box A 1952 Cubic Inches
Approximately how many cubic inches of candy
will fit in the piñata?
186.75 Cubic inches
Box B 1708.56 Cubic Inches
13. A kindergarten teacher was stacking erasers in a
rectangular prism shaped storage box. The box
holds 10 tightly stacked erasers as shown
below.
15. A doll manufacturer is trying to develop a
special package for their Holiday Dolls in the
shape of a pyramid with a triangle base. A net
of the package is shown below where F is the
base of the Pyramid.
What is the approximate volume of the storage
box?
191.75 Cubic cm
If the height of the package is 9 inches, how
many cubic inches of space are available for the
company to fill?
14. A water park is designing a play area for kids
where a container collects water and then
dumps the water onto a hill to create a
waterfall. The design of the container is shown
below.
If the container is filled three times per minute,
how much water is used for the waterfall per
minute?
105 Cubic Feet
72 cubic inches