Lesson 27 Quiz

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Ready® Mathematics
Lesson 27 Quiz
Solve the problems.
1 A planter shaped like a rectangular prism has a length of 4 meters, a width of
4 meters, and a height of 3 meters. Attached to the side of the planter is a smaller
planter with ​ 1 ​the volume of the larger planter. What is the combined volume of
2
··
both planters?
A 24 cubic meters
B 34 cubic meters
C 48 cubic meters
D 72 cubic meters
2 The diagram shows the measurements of a frame into which concrete is poured
to make steps. The steps are shaped like rectangular prisms. Which expressions
can be used to find the volume of concrete used for the steps?
6 in.
6 in.
13 in.
16 in.
14 in.
Circle all the correct answers.
A (6 3 16 3 8) 1 (7 3 14 3 8)
B (6 3 16 3 6) 1 (14 3 16 3 7)
C (6 3 16 3 6) 1 (14 3 7 3 6)
D (6 3 6 3 14) 1 (16 3 6 3 7)
E (6 3 16 3 13) 1 (8 3 16 3 7)
Grade 5 Lesson 27 Find Volume of Composite Figures
1
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Lesson 27 Quiz continued
3 A farmer builds a trough to fit in a corner. The trough is
made from rectangular prisms.
8 ft
2 ft
9 ft
Part A
A
Use the diagram to find length A and width B.
B
7 ft
Answer: Length A 5 ft
3 ft
Width B 5 ft
Part B
What is the volume of the trough?
Show your work.
Answer: cubic feet
4 The diagram below shows the measurements of two
identical rectangular prisms joined together.
3m
Austin says the combined volume of the prisms is
225 cubic meters.
15 m
Explain Austin’s error and give the correct volume.
5m
Grade 5 Lesson 27 Find Volume of Composite Figures
2
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Copying permitted for classroom use.