Transcript Document

How can you quickly and
efficiently determine which
one of these boxes can hold
more popcorn?
7 in.
4 in.
5 in.
2 in.
8 in.
2 in.
In this lesson you will
learn how to compute
volume by applying the
formula V = LWH.
Let’s
Review
Let’s
Review
Volume is the amount of cubic
units needed to fill the space inside
a three-dimensional figure.
Let’s
Review
Let’s
Review
We can find volume
multiplying the area
of the base by the
height.
CoreReview
Lesson
Let’s
We can also find the volume of a
rectangular prism by multiplying its
length times its width times its height.
Volume = L • W • H
CoreReview
Lesson
Let’s
Volume = Base • height
= (L • W) • h
= (4 • 3) • 6
=
12 • 6
The figure has a volume of
72 cubic units.
CoreReview
Lesson
Let’s
Volume = L • W • H
6 inches
8 inches
4 inches
=8•4•6
= 144 in3
CoreReview
Lesson
Let’s
Volume = L • W • H
30 m
10 m
= 30 • 10 • 70
70 m
= 21,000 m3
CoreReview
Lesson
Let’s
Volume
=s
L3•just
Wuse
• Hthe
So I should
same formula, even
though the prism is a
3
cube?
= 10 • 10 • 10
= 1,000
1,000 in
in33
=
10 inches
CoreReview
Lesson
Let’s
Which contains
more popcorn?
7 in.
4 in.
5 in.
2 in.
Volume = L • W • H
=5•7•2
= 70 in3
8 in.
2 in.
Volume = L • W • H
=8•2•4
= 64 in3
In this lesson you have
learned how to compute
volume by applying the
formula V = LWH.
Guided
Practice
Let’s
Review
What is the volume of the prism, below?
Volume = L • W • H
5 feet
22 feet
= 5 • 12 • 22
= 1,320 ft3
12 feet
Extension
Let’s
ReviewActivities
Which has the greater volume?
2 yards
5 yards
10 yards
4 yards
8 yards
15 yards
Extension
Let’s
ReviewActivities
Jenny suggests that there is a relationship
between volume and surface area. She
thinks that as a rectangular prism’s volume
gets bigger, so does its surface area.
Do you agree or disagree? Be prepared to
support your answer with examples.
Quick Quiz
Let’s
Review
What is the volume of a cube with side
lengths 9 yards?
Find the volume of a prism with side
lengths of 6 feet, 10 feet, and 20 feet.