Volumes of Prisms and Cylinders

Front

What is the formula for the volume of a prism?

Back

Volume = Base Area × Height

Front

What is the formula for the volume of a cylinder?

Back

Volume = π × r² × h, where r is the radius and h is the height.

Front

Define 'base area' in the context of prisms.

Back

Base area is the area of the base shape of the prism, which is multiplied by the height to find the volume.

Front

What is the volume of a rectangular prism with length 4 yd, width 3 yd, and height 2 yd?

Back

Volume = 4 yd × 3 yd × 2 yd = 24 yd³.

Front

How do you find the volume of a triangular prism?

Back

Volume = (Base Area of Triangle) × Height of Prism.

Front

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

Back

Volume = π × (3 cm)² × 5 cm ≈ 141.37 cm³.

Front

What does it mean if an object has a volume of 0?

Back

It means the object does not occupy any space or is non-existent.

Front

If the height of a prism is doubled, what happens to its volume?

Back

The volume also doubles, since Volume = Base Area × Height.

Front

What is the volume of a cylinder with a diameter of 10 cm and a height of 4 cm?

Back

Volume = π × (5 cm)² × 4 cm ≈ 314.16 cm³.

Front

What is the relationship between volume and capacity?

Back

Volume measures the space an object occupies, while capacity measures how much liquid a container can hold.