Page 115 - Math Course 1 (Book 2)

Volumes of Prisms and Cylinders

Mo. 10

Lesson 2
Let’s Begin

KEY CONCEPTS:
1. Find volumes of prisms. Volume of a Rectangular Prism
2. Find volumes of rectangular prism and
triangular prism. Example
3. Find volumes of circular cylinders.

Find the volume of the prism.

MO. 10 - L2a

Finding the Volumes of Prisms
8 cm 25 cm
16 cm
Vocabulary A-Z V = Bh Formula for volume of a prism.

Let us learn some vocabulary V = (ℓ • w)h The base is a rectangle, so B = ℓ • w.

V = (25 • 16)8 ℓ = 25, w = 16, h = 8

V = 3200 Simplify.
volume
Volume is the measure of space occupied by a
solid region. To f nd the volume of a prism, use the Answer The volume is 3200 cubic
area of the base and the height. centimeters.

Volume of a Triangular Prism

h h
Example

1
V = b • h V = b • h Find the volume of the triangular prism.
3
Key Concept

5 in.
Volume of a Prism 3 in.
2 in.
The volume V of a prism is the area
Words of the base B times the height h. V = Bh Formula for volume of a prism

1 1
V = ( • 2 • 5)h B = area of base or • 2 • 5
Symbols V = Bh 2 2
1
V = ( • 2 • 5)3 The height of the prism is 3 in.
2
Models V = 15 Simplify.
h

Base Answer The answer is 15 cubic
h inches.

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