volume of prisms and pyramids

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 pyramid?

Back

Volume = (1/3) × Base Area × Height

Front

Define a prism.

Back

A solid shape with two parallel bases that are congruent and flat sides.

Front

Define a pyramid.

Back

A solid shape with a polygonal base and triangular faces that meet at a common point (the apex).

Front

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

Back

Volume = 5 cm × 3 cm × 4 cm = 60 cm³

Front

What is the volume of a triangular prism with a base area of 10 m² and a height of 5 m?

Back

Volume = 10 m² × 5 m = 50 m³

Front

How do you find the base area of a triangle?

Back

Base Area = (1/2) × Base × Height

Front

What is the volume of a square pyramid with a base side of 4 m and a height of 6 m?

Back

Volume = (1/3) × (4 m × 4 m) × 6 m = 32 m³

Front

What is the volume of a tetrahedron with a base area of 12 in² and a height of 3 in?

Back

Volume = (1/3) × 12 in² × 3 in = 12 in³

Front

What is the relationship between the volume of a prism and a pyramid with the same base and height?

Back

The volume of the pyramid is one-third the volume of the prism.