How can you quickly and efficiently determine which one of these boxes can hold more popcorn? 5 in. 2 in. 7 in. 8 in. 2 in. 4 in.

In this lesson you will learn how to compute volume by applying the formula V = LWH.

Let’s Review Volume is the amount of cubic units needed to fill the space inside a three-dimensional figure.

We can find volume multiplying the area of the base by the height.

Core Lesson We can also find the volume of a rectangular prism by multiplying its length times its width times its height. Volume = L W H

Let’s Review Core Lesson Volume = Base height = 12 6 The figure has a volume of 72 cubic units. = (4 3) 6 = (L W) h

Let’s Review Core Lesson Volume = L W H = = 144 in 3 8 inches 4 inches 6 inches

Let’s Review Core Lesson 70 m 10 m 30 m Volume = L W H = = 21,000 m 3

Let’s Review Core Lesson Volume = L W H = 1,000 in 3 10 inches So I should just use the same formula, even though the prism is a cube? = Volume = s 3 = 10 3 = 1,000 in 3

Let’s Review Core Lesson 5 in. 2 in. 7 in. 8 in. 2 in. 4 in. Volume = L W H = = 70 in 3 Volume = L W H = = 64 in 3 Which contains more popcorn?

In this lesson you have learned how to compute volume by applying the formula V = LWH.

Let’s Review Guided Practice What is the volume of the prism, below? 22 feet 5 feet 12 feet Volume = L W H = = 1,320 ft 3

Let’s Review Extension Activities Which has the greater volume? 15 yards 8 yards 2 yards 10 yards 4 yards 5 yards

Let’s Review Extension Activities 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.

Let’s Review Quick Quiz 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.