Name _______________________________________ Date __________________ Class __________________
MODULE
10
Volume and Surface Area
Review – Grade 7 Math
1. A rectangular prism has a length of
11.8 meters, a width of 4.2 meters, and
a height of 5 meters. What is the volume
of the prism?
6. A triangular pyramid has a height of
18 yards and a base with an area of 330
square yards. What is the volume of the
pyramid?
A 59.1 m3
C 247.8 m3
A 660 yd3
C 2,970 yd3
B 82.6 m3
D 495.6 m3
B 1,980 yd3
D 5,940 yd3
2. The volume of a rectangular pyramid is
4,000 cubic feet. The area of the base is
40 square feet. What is the height of the
pyramid?
A 100 ft
C 400 ft
B 300 ft
D 1,600 ft
Use the diagram for 7–9.
3. A furniture store buys leather sofas from
a manufacturer for $200 each and marks
up the price 65%. Which expression
represents the retail price?
A 1.35p
C 0.35p  200
B 0.65p65
D 1.65p
7. What is the total surface area of the
rectangular prism whose net is shown?
4. What is the volume of the triangular
prism below?
A 539 m2
C 1,078 m2
B 850 m2
D 1,250 m2
8. What is the lateral area of the rectangular
prism whose net is shown?
A 204 m2
C 432 m2
B 228 m2
D 850 m2
9. What is the volume of the rectangular
prism whose net is shown?
A 2,520 cm3
C 5,040 cm3
B 2,625 cm3
D 5,250 cm3
1
buckets
2
1
B 2 buckets
8
C 2
C 969 m3
B 646 m3
D 1,938 m3
10. Renting a bicycle costs $15 for the first
hour and $5.50 for each additional hour.
Let x represent the number of additional
hours. If you have $25 to spend, which of
the following equations could be used to
find how many hours you can rent a
bicycle?
5. Kelly and 3 friends collected seashells
at the beach. Working together, they
1
collected 8 buckets of seashells. They
2
divide the seashells equally among them.
How many buckets of seashells does
each person get?
A 1
A 432 m3
A 5.5x  15  25
B 15x  5.5  25
1
buckets
4
C 5.5x  15  25
1
D 3 buckets
2
D 15x  5.5  25
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
51
Name _______________________________________ Date __________________ Class __________________
MODULE
10
Volume and Surface Area
11. The volume of a rectangular prism is
7,200 cubic centimeters. It has a length
of 24 centimeters and a width of
20 centimeters. What is its height?
16. A triangular pyramid has a height of
27 meters and a base with an area of
575 square meters. What is the volume
of the pyramid?
_______________________________________
________________________________________
12. What is the volume of the rectangular
pyramid below?
Use the net for 17–19.
_______________________________________
13. The day after Valentine’s Day, boxes of
assorted chocolates go on sale and are
marked down 55%. The original price of
a heart-shaped box of assorted
chocolates is $25.99. What is the sale
price?
17. What is the total surface area of the
rectangular pyramid whose net is shown?
________________________________________
18. What is the lateral area of the rectangular
pyramid whose net is shown?
_______________________________________
________________________________________
14. A triangular prism has a height of
78 yards and a base with an area of
402 square yards. What is the volume of
the prism?
19. What is the volume of the rectangular
pyramid?
________________________________________
_______________________________________
20. A birdwatcher saw 3 blue jays on the first
day of his vacation. Each day after that
he saw 2 more blue jays than he did the
previous day. On the last day of vacation,
he saw 27 blue jays. Write an equation
that could be solved to find the number
of days the birdwatcher was on vacation
since the first day.
15. A skydiver jumped out of a plane and
descended 0.66 miles in 1.5 minutes.
What was the skydiver’s average change
of altitude per minute?
_______________________________________
________________________________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
52
Name _______________________________________ Date __________________ Class __________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
53