Lesson 2

Discover

 

In this section you will explore the volume of rectangular prisms and cylinders.

 

Try This 1

 

You will use Volume of Rectangular Prisms and Cylinders to complete Try This 1 and Share 1.

 

1. Use Volume of Rectangular Prisms and Cylinders to complete a table like the following.
   
   

   	Dimensions	Base of Rectangular Prism 1 cm × 1 cm	Base of Rectangular Prism 1 cm × 2 cm	Base of Rectangular Prism 1 cm × 3 cm	Base of Cylinder Radius = 1 cm	Base of Cylinder Radius = 2 cm	Base of Cylinder Radius = 3 cm
   	Area of the Base (B)
   V o l u m e	Height = 2 cm
   	Height = 3 cm
   	Height = 4 cm
   	Height = 5 cm

   
   
2. Look at your completed table. What do you notice about the prism’s volume as height is increased?
   
   
3. What do you notice about the volume of the cylinder as height is increased?
   
   
4. Use the table’s pattern to predict the volume of a rectangular prism with dimensions of 3 cm × 1 cm × 6 cm.
   
   
5. Use the pattern in the table to predict the volume of a cylinder with dimensions of 3-cm base radius × 6-cm height.
   
   
6. Remember that the formula for a rectangular prism is and that the area of the base of a prism is . Can you create another formula for the volume of a prism?
   
   
7. Does this formula also work for the cylinder’s volume? Provide an example as proof.

Share 1

Share your responses to the questions in Try This 1 with a classmate or with a group of people.

• How does the formula you created in question 6 compare to your partner’s formula? Do your formulas work for all rectangular prisms and cylinders?

Save a copy of your responses to Try This 1 in your course folder.