topic badge

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.5.a

Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, for example, to represent the associative property of multiplication.

What is Mathspace

About Mathspace