Warm Up

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Warm Up
Problem of the Day
Lesson Presentation
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Volume is the number of cubic units needed to
fill a space.
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Video
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It takes 10, or 5 2, centimeter cubes to cover
the bottom layer of this rectangular prism.
There are 3 layers of 10 cubes each to fill the
prism. It takes 30, or 5 2 3, cubes.
Volume is expressed in cubic units, so the volume
of the prism is 5 cm 2 cm 3 cm 30 cm3.
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Additional Example 1 Finding the Volume of a
Rectangular Prism Find the volume of the
rectangular prism.
13 in.
11 in.
26 in.
V lwh
Write the formula.
V 26 11 13
l 26 w 11 h 13
Multiply.
V 3,718 in3
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Check It Out Example 1 Find the volume of the
rectangular prism.
16 in.
12 in.
29 in.
V lwh
Write the formula.
V 29 12 16
l 29 w 12 h 16
Multiply.
V 5,568 in3
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To find the volume of any prism, you can use the
formula V Bh, where B is the area of the base,
and h is the prisms height. So, to find the
volume of a triangular prism, B is the area of
the triangular base and h is the height of the
prism.
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Additional Example 2A Finding the Volume of a
Triangular Prism Find the volume of each
triangular prism.
Multiply.
V 10.14 m3
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Additional Example 2B Finding the Volume of a
Triangular Prism Find the volume of the
triangular prism.
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Check It Out Example 2A Find the volume of each
triangular prism.
7 m
1.6 m
4.2 m
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Check It Out Example 2B Find the volume of each
triangular prism.
9 ft
5 ft
4.5 ft
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To find the volume of a cylinder, you can use the
same method as you did for prisms Multiply the
area of the base by the height.
volume of a cylinder area of base ? height
The area of the circular base is ?r2, so the
formula is V Bh ?r2h.
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Additional Example 1A Finding the Volume of a
Cylinder Find the volume V of the cylinder to the
nearest cubic unit.
V ?r2h
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Additional Example 1B Finding the Volume of a
Cylinder
V ?r2h
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Additional Example 1C Finding the Volume of a
Cylinder
V ?r2h
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Check It Out Example 1A Find the volume V of
each cylinder to the nearest cubic unit.
6 ft
5 ft
V ?r2h
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Check It Out Example 1B
8 cm

6 cm
V ?r2h
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Insert Lesson Title Here
Lesson Quiz
Find the volume of each figure. 1. rectangular
prism with length 20 cm, width 15 cm, and height
12 cm 2. triangular prism with a height of 12
cm and a triangular base with base length 7.3 cm
and height 3.5 cm 3. Find the volume of the
figure shown.