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11.03 Volume of prisms

Lesson

Are you ready?

Do you remember how to find volume by counting unit cubes? Let's try this problem to practice.

In this figure, $1$1 block $=$= $1$1 cm3.

What is the volume of the solid figure?

Learn

Let's look at how we can use unit cubes and arrays to find the volume of an object.

Apply

Question 1

In this figure, $1$1 block $=$= $1$1 cm3.

What is the volume of the solid figure?

Learn

The volume of a rectangular prism is equal to the product of its three dimensions.

Volume of a rectangular prism $=$= Length$\times$×Width$\times$×Height

Notice that this is the same as multiplying the base area of a prism by its height.

Apply

Question 2

Find the volume of the rectangular prism shown.

Remember!

A cube is special type of rectangular prism with its length, width, and height all equal. This means that we can find the volume of a cube using the formula:

Volume of a cube $=$= Side length$\times$×Side length$\times$×Side length

 

Outcomes

5.MD.C.5

Relate volume to the operations of multiplication and addition and solve real-world and mathematical problems involving volume of right rectangular prisms.

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