Understanding Volume of Prisms

This video tutorial teaches how to calculate the volume of prisms by multiplying the area of the base by the height. It begins with an introduction to the concept of volume and the properties of prisms, including their parallel and congruent bases. The tutorial provides a step-by-step guide to calculating the volume of a prism, using examples to illustrate the process. It also covers an advanced example where the prism is not visually broken down into cubic units, demonstrating how to find the volume by considering the layers. By the end of the lesson, viewers will understand how to compute volume using the base area and height.

What is a prism?

• A two-dimensional shape with parallel sides

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

• A figure with no volume

• A shape with only one base

How is volume defined in the context of three-dimensional figures?

• The area of the base of a figure

• The length of the edges of a figure

• The number of cubic units needed to fill the space inside a figure

• The number of square units needed to cover a surface

What is the formula for calculating the volume of a prism?

• Base times height divided by two

• Area of the base times the height

• Length times width

• Length times width times height

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

• 12 square units

• 6 square units

• 24 square units

• 18 square units

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

• 6 units

• 5 units

• 4 units

• 7 units

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

• 36 cubic units

• 48 cubic units

• 60 cubic units

• 72 cubic units

In the second example, what are the dimensions of the base?

• 3 by 10

• 4 by 8

• 5 by 9

• 6 by 7

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

• 4 units

• 3 units

• 6 units

• 5 units

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

• 120 cubic units

• 140 cubic units

• 130 cubic units

• 150 cubic units

What is the key takeaway from the lesson on computing volume?

• Volume is only applicable to two-dimensional figures

• Volume can be found by multiplying the area of the base by the height

• Volume is the same as surface area

• Volume is irrelevant in geometry