Volume of Prisms and Cylinders

Mr. June provides a tutorial on calculating the volume of cylinders, rectangular prisms, and triangular prisms. He introduces additional resources from Khan and Denmark to aid learning. The video covers the formulas for volume calculation, emphasizing the importance of understanding the area of the base and using it in the formula. Practical examples are given for each shape, with step-by-step calculations to ensure comprehension.

What additional resources did Mr. June provide for understanding the volume of cylinders and prisms?

• Videos from Khan Academy and Denmark

• A textbook and a worksheet

• A podcast and a blog post

• A live class and a quiz

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

• V = lwh

• V = 2πrh

• V = 1/3πr²h

• V = πr²h

In the context of volume calculation, what does the capital 'B' represent?

• The base length

• The area of the base

• The volume of the shape

• The height of the shape

If the diameter of a cylinder is 10, what is the radius?

• 5

• 10

• 20

• 15

What is the volume of a cylinder with a radius of 5 and a height of 15?

• 1500 cubic centimeters

• 1177.5 cubic centimeters

• 785 cubic centimeters

• 225 cubic centimeters

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

• V = πr²h

• V = 2lw + 2lh + 2wh

• V = 1/3lwh

• V = lwh

How do you calculate the volume of a rectangular prism with a base area of 45 and a height of 5?

• 225 cubic feet

• 150 cubic feet

• 450 cubic feet

• 90 cubic feet

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

• V = 1/2bh

• V = bh/2

• V = πr²h

• V = (1/2bh)H

If the base of a triangular prism is 10, the height of the base is 15, and the height of the prism is 20, what is the volume?

• 750 cubic centimeters

• 3000 cubic centimeters

• 1500 cubic centimeters

• 2250 cubic centimeters

Why are prisms named after the shape of their bases?

• Because they are always triangular

• Because they have no bases

• Because they are always rectangular

• Because they have two congruent bases