Homework Helper Lesson 11 Volume of Composite Figures

Number and Operations in Base Ten
Geometry
X_STANDARDS_NA,
X_STANDARDS_NA
5.MD.5,
5.MD.5c
Name
Lesson 11
Volume of
Composite Figures
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Find the volume of the composite figure.
4 yd
The figure was separated into two prisms.
Find the volume of each rectangular prism.
3 yd
2 yd
4 yd
9 yd
10 yd
Top prism
V=×w×h
2 yd
V=3×4×2
4 yd
3 yd
24
Bottom prism
V=×w×h
4 yd
V = 10 × 9 × 4
360
−−−−−
384
9 yd
10 yd
The total volume of the composite figure is 24 + 360 or 384 cubic yards.
Practice
Find the volume of each composite figure.
1.
1 ft
2.
3 ft
5.5 m
5.5 m
5 ft
Copyright © The McGraw-Hill Companies, Inc.
1m
1m
B = 6 m2
3 ft
7 ft
3 ft
V=
V=
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9 in.
Problem Solving
9 in.
4 in.
3. Maci is decorating the cake shown. Find the
volume of the cake.
3 in.
12 in.
12 in.
4. The firehouse shown is in the shape of a
composite figure. How many cubic yards of
space are in the firehouse?
15 yd
7 yd
15 yd
20 yd
4
5.
12 yd
40 yd
Model Math Draw an example of a
composite figure that has a volume between 750 and 900 cubic units.
Vocabulary Check
Fill in the blank with the correct term or number to complete
the sentence.
6. A
is made up of two or more
three-dimensional figures.
5 cm
Test Practice
4 cm
3 cm
7. What is the total volume of the composite figure?
A
282 cubic centimeters
C
492 cubic centimeters
B
432 cubic centimeters
D
502 cubic centimeters
8 cm
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Vocab
6 cm
9 cm
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Grade: 5
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