volume of Prisms and pyramids

Front

What is a prism?

Back

A prism is a three-dimensional shape with two parallel, congruent bases connected by rectangular faces.

Front

What is a pyramid?

Back

A pyramid is a three-dimensional shape with a polygonal base and triangular faces that meet at a single point called the apex.

Front

How do you calculate the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

How do you calculate the volume of a triangular prism?

Back

Volume = (Base Area × Height) where Base Area = (1/2 × base × height of the triangle).

Front

How do you calculate the volume of a square pyramid?

Back

Volume = (1/3 × Base Area × Height) where Base Area = side × side.

Front

How do you calculate the volume of a triangular pyramid?

Back

Volume = (1/3 × Base Area × Height) where Base Area = (1/2 × base × height of the triangle).

Front

What is the volume of a rectangular prism with dimensions 2 units, 3 units, and 4 units?

Back

Volume = 2 × 3 × 4 = 24 cubic units.

Front

What is the volume of a triangular prism with a base area of 10 square units and a height of 5 units?

Back

Volume = 10 × 5 = 50 cubic units.

Front

If a square pyramid has a base side of 4 units and a height of 6 units, what is its volume?

Back

Volume = (1/3 × 4 × 4 × 6) = 32 cubic units.

Front

What is the volume of a triangular pyramid with a base area of 8 square units and a height of 3 units?

Back

Volume = (1/3 × 8 × 3) = 8 cubic units.