Quiz on Volumes of Prisms and Cylinders

What is the unit of measurement for volume?

• None of the above

• Square units

• Cubic units

• Linear units

How do you calculate the volume of a prism?

• Length + Width + Height

• Area of the base x Height

• Length x Width x Height

• Area of the base + Height

If a prism has a base area of 20 cm² and a height of 10 cm, what is its volume?

• 200 cm³

• 100 cm³

• 30 cm³

• 2000 cm³

How do you find the area of a pentagon's base when calculating the volume of a prism?

• Perimeter x Height

• Length x Width

• 1/2 x Apothem x Perimeter

• Base x Height

What is the formula for the volume of a cylinder?

• πr²h

• πr² + h

• 2πr²h

• πr²/h

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

• 30π cm³

• 15π cm³

• 45π cm³

• 60π cm³

According to Cavalieri's Principle, two solids with the same height and cross-sectional area have:

• The same surface area

• Different surface areas

• The same volume

• Different volumes

In the example problem, if the volume of prism B is 128 cubic inches larger than prism A, what is the length of prism B if prism A's length is 5 inches?

• 8 inches

• 10 inches

• 12 inches

• 15 inches

What is the surface area of a rectangular prism with a height of 6 inches, width of 3 inches, and length of 12 inches?

• 282 square inches

• 240 square inches

• 300 square inches

• 252 square inches

What is the volume of a rectangular prism with dimensions 12 cm x 3 cm x 7 cm?

• 252 cm³

• 210 cm³

• 300 cm³

• 240 cm³