Computing Volume: Multiplying the Area of the Base Times the Height

This lesson teaches how to calculate the volume of a prism by multiplying the area of its base by its height. It begins with a review of what a prism is, highlighting its parallel and congruent polygonal bases. The lesson then provides a detailed explanation of how to determine the volume of a prism using its height and base area, with examples to illustrate the process. The method simplifies the calculation by focusing on the base's area and the prism's height, rather than counting individual cubic units.

What is a prism in the context of geometry?

• A figure with no parallel sides

• A three-dimensional figure with two parallel and congruent polygonal bases

• A two-dimensional shape with equal sides

• A shape with only one base

How do you calculate the volume of a prism?

• By adding the length and width of the base

• By multiplying the area of the base by the height

• By subtracting the height from the base area

• By dividing the base area by the height

In the first example, what is the area of the base of the prism?

• 12 square units

• 18 square units

• 24 square units

• 6 square units

What is the volume of the prism in the second example?

• 200 cubic units

• 250 cubic units

• 100 cubic units

• 150 cubic units

What is the height of the prism in the second example?

• 10 units

• 5 units

• 15 units

• 3 units