Lesson 11.11
Name
Find Volume of Composed Figures
COMMON CORE STANDARD—5.MD.5C
Geometric measurement: understand concepts
of volume and relate volume to multiplication
and to addition.
Find the volume of the composite figure.
1.
2.
1 in.
14 cm
2 cm
12 cm
3 in.
4 cm
1 in.
6 cm
2 in.
4 in.
384 cu cm
12 cu in.
V = ____
3.
V = ____
4.
8 in.
6 ft
3 in.
1 in.
6 in.
4 ft
4 ft
8 ft
12 ft
1 in.
416 cu ft
39 cu in.
V = ____
V = ____
© Houghton Mifflin Harcourt Publishing Company
Problem
Problem Solving
Solving
5. As part of her shop class, Jules made the figure
below out of pieces of wood. How much space
does the figure she made take up?
6. What is the volume of the composite figure
below?
30 cm
9 ft
6 ft
9 cm
24 cm
6 cm
6 ft
12 ft
27 ft
9 cm
2,916 cu cm
_______
2,592 cu ft
_______
Chapter 11
P221
Lesson Check (5.MD.5c)
1. Write an expression to represent the volume of
the composite figure.
1 in.
2. Suppose you take the small prism and stack
it on top of the larger prism. What will be the
volume of the composite figure?
1 in.
6 in.
12 in.
15 in.
3 in.
2 in.
5 in.
12 in.
6 in.
6 in.
Possible answer:
(5 × 2 × 3) − (4 × 2 × 1)
1,512 cubic inches
Spiral Review (5.NF.6, 5.NF.7c, 5.MD.5a, 5.MD.5b)
3. Jesse wants to build a wooden chest with a
volume of 8,100 cubic inches. The length will be
30 inches and the width will be 15 inches. How
tall will Jesse’s chest be?
4. What is the volume of the rectangular prism?
2 in.
3 in.
9 in.
5. Adrian’s recipe for cranberry relish calls for
1 3_4 cups of sugar. He wants to use 1_2 that amount.
How much sugar should he use?
_7
8
P222
cup
54 in.3
6. Joanna has a board that is 6 feet long. She cuts
it into pieces that are each 1_4 foot long. Write
an equation to represent the number of pieces
she cut.
6 ÷ 1_4 = n
© Houghton Mifflin Harcourt Publishing Company
18 in.