- Prisms & Pyramids

Front

What is a prism?

Back

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

Front

What is a pyramid?

Back

A pyramid is a three-dimensional geometric 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

What is the formula for the volume of a pyramid?

Back

Volume = (1/3) × Base Area × Height.

Front

If a rectangular prism has a volume of 180 cm³, width of 4 cm, and height of 15 cm, what is its length?

Back

Length = Volume / (Width × Height) = 180 / (4 × 15) = 3 cm.

Front

What is the volume of a cube with a side length of 4 cm?

Back

Volume = side³ = 4³ = 64 cm³.

Front

How do you find the volume of a cylinder?

Back

Volume = π × radius² × height.

Front

What is the difference between a prism and a pyramid?

Back

A prism has two parallel bases, while a pyramid has one base and triangular faces that converge at an apex.

Front

What is the volume of a rectangular prism with dimensions 6 cm, 4 cm, and 3 cm?

Back

Volume = 6 × 4 × 3 = 72 cm³.