1. Find the total volume of the figures, and record your solution strategy.
a. b.
Volume: Volume:
Solution Strategy: Solution Strategy:
c. d.
Volume: Volume:
Solution Strategy: Solution Strategy:
10 m
3 m
12 m
6 m
8 m
6 cm
4 cm
2 cm
10 cm
3 cm
5 cm
3 cm
14 cm
5 cm
3 in
6 in
4 in
15 in
7 in
A STORY OF UNITS
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G5-M5-TE-1.3.0-08.2015
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Lesson 6: Find the total volume of solid figures composed of two
non-overlapping rectangular prisms
Lesson 6 Problem Set 5•5
2. A sculpture (pictured below) is made of two sizes of rectangular prisms. One size measures 13 in by 8 in
by 2 in. The other size measures 9 in by 8 in by 18 in. What is the total volume of the sculpture?
3. The combined volume of two identical cubes is 128 cubic centimeters. What is the side length of each
cube?
4. A rectangular tank with a base area of 24 cm2 is filled with water and oil to a depth of 9 cm. The oil and
water separate into two layers when the oil rises to the top. If the thickness of the oil layer is 4 cm, what
is the volume of the water?
5. Two rectangular prisms have a combined volume of 432 cubic feet. Prism A has half the volume of
Prism B.
a. What is the volume of Prism A? Prism B?
b. If Prism A has a base area of 24 ft2
, what is the height of Prism A?
c. If Prism B’s base is 2
3 the area of Prism A’s base, what is the height of Prism B?