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Lesson 2

1. Lesson 2

1.5. Explore

Mathematics 20-3 Module 7

Module 7: Volume and Capacity

 

Explore

 

In Try This 1 you developed and compared the volume formulas of a rectangular prism and a cylinder.

 

This graphic shows the volume of a rectangular prism and a cylinder.

 

 

tip

The same formula is used to calculate the capacity of prisms and cylinders.

 

 

You may have noticed that the volume formulas for both rectangular prisms and cylinders are really the same:

 

 

This formula applies to any prism, regardless of the shape of its base.

 

In Try This 2 you will apply the formula V = B × h to a triangular prism.

 

Try This 2

 

How much glass is needed to make the following triangular prism? The dimensions of each end are shown in the diagram.

 

This is a photo of a triangular prism.

Comstock/Thinkstock

 

  1. What shape is the base of this prism?

  2. What formula will find the area of this shape? hint

  3. Calculate the area of the base.

  4. If the general formula to find the volume of any prism is (area of base) x (height), find the volume of this prism.
area of a triangle = (base of triangle) × (height of triangle)