Volume and Area of Prisms and Cylinders

The video tutorial covers the concept of finding volumes of cylinders and prisms, including rectangular and triangular prisms. It explains the formulas for calculating volumes by using the area of the base and the height. The tutorial provides examples and emphasizes the importance of understanding the dimensions involved. Homework instructions are given to reinforce the concepts learned.

Which of the following is an example of a cylinder?

• Tissue box

• Toblerone

• Can

• Book

What is the formula for the volume of a cylinder?

• Length times width times height

• Base area times height

• Base area divided by height

• Base area times width

If the radius of a cylinder's base is 5 cm, what is the area of the base?

• 78.5 cm²

• 10π cm²

• 25π cm²

• 78.5π cm²

What is the height of a cylinder if the distance between the bases is 12 cm?

• 6 cm

• 24 cm

• 12 cm

• 10 cm

Which formula can be used as a shortcut to find the volume of a rectangular prism?

• Length times width divided by height

• Base area divided by height

• Length times width times height

• Base area times height

What is the volume of a rectangular prism with dimensions 4 cm, 10 cm, and 3 cm?

• 30 cm³

• 40 cm³

• 60 cm³

• 120 cm³

In a triangular prism, what shape is considered the base?

• Rectangle

• Circle

• Square

• Triangle

How do you find the area of the base in a triangular prism?

• Base times height divided by two

• Length times width

• Base times height

• Base times width divided by two

What is the height of a triangular prism if the distance between the bases is 12 cm?

• 6 cm

• 24 cm

• 12 cm

• 10 cm

If the volume of a cylinder is 902.75 cm³ and the radius is 5 cm, what is the height?

• 20 cm

• 15 cm

• 12 cm

• 10 cm