10.08 Volume of prisms
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.
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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.
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