Volume Test Review

Front

What is the formula for the volume of a pyramid?

Back

Volume = (1/3) * Base Area * Height

Front

Define Cavalieri’s Principle.

Back

Cavalieri’s Principle states that if two solids have the same height and the same cross-sectional area at every level, they have the same volume.

Front

What shape is the base of a pyramid that has a triangular base?

Back

Triangle

Front

Calculate the volume of a pyramid with a base area of 12 in² and a height of 6 in.

Back

Volume = (1/3) * 12 in² * 6 in = 24 in³

Front

What is the area of a triangle with a base of 4 in and a height of 3 in?

Back

Area = (1/2) * base * height = (1/2) * 4 in * 3 in = 6 in²

Front

If a pyramid has a base area of 60 in² and a height of 10 in, what is its volume?

Back

Volume = (1/3) * 60 in² * 10 in = 200 in³

Front

What is the volume of a rectangular prism with a length of 5 cm, width of 4 cm, and height of 3 cm?

Back

Volume = length * width * height = 5 cm * 4 cm * 3 cm = 60 cm³

Front

What is the relationship between the cross-sectional area and volume of similar solids?

Back

Similar solids have volumes that are proportional to the cube of their corresponding linear dimensions.

Front

What is the volume of a cone with a radius of 3 cm and a height of 9 cm?

Back

Volume = (1/3) * π * r² * h = (1/3) * π * (3 cm)² * 9 cm = 27π cm³

Front

What is the area of a rectangle with a length of 8 in and a width of 5 in?

Back

Area = length * width = 8 in * 5 in = 40 in²