Prisms and Pyramids Assignment

Front

What does the 'B' in the volume formula V = Bh stand for?

Back

Area of the base.

Front

What is the formula for the volume of a pyramid?

Back

V = (1/3)Bh, where B is the area of the base and h is the height.

Front

Find the volume of a square pyramid with a base area of 100 cm² and a height of 15 cm.

Back

V = (1/3)Bh = (1/3)(100)(15) = 500 cm³.

Front

What is the formula for the surface area of a rectangular prism?

Back

SA = 2lw + 2lh + 2wh, where l is length, w is width, and h is height.

Front

Find the surface area of a rectangular prism with dimensions 3 in, 4 in, and 5 in.

Back

SA = 2(3*4 + 3*5 + 4*5) = 2(12 + 15 + 20) = 2(47) = 94 in².

Front

What is the difference between a prism and a pyramid?

Back

A prism has two parallel bases and rectangular sides, while a pyramid has one base and triangular sides that meet at a point.

Front

How do you calculate the volume of a prism?

Back

V = Bh, where B is the area of the base and h is the height.

Front

Find the volume of a triangular prism with a base area of 20 cm² and a height of 10 cm.

Back

V = Bh = 20 * 10 = 200 cm³.

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, where r is the radius and h is the height.

Front

Find the volume of a cylinder with a radius of 3 cm and a height of 5 cm.

Back

V = π(3)²(5) = 45π cm³.