Prisms and Pyramids Assignment

Front

What is the formula for the volume of a rectangular pyramid?

Back

Volume = (1/3) * base area * height

Front

What is the volume of a rectangular pyramid with a base area of 72 cm² and a height of 18 cm?

Back

Volume = (1/3) * 72 * 18 = 432 cm³

Front

What is the formula for the volume of a triangular prism?

Back

Volume = base area * height

Front

What is the volume of a triangular prism with a base area of 20 ft² and a height of 10 ft?

Back

Volume = 20 * 10 = 200 ft³

Front

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

Back

Surface Area = 2(lw + lh + wh) where l = length, w = width, h = height

Front

What is the surface area of a rectangular prism with dimensions 3 in, 4 in, and 5 in?

Back

Surface Area = 2(3*4 + 3*5 + 4*5) = 2(12 + 15 + 20) = 2(47) = 94 in²

Front

What is the difference between prisms and pyramids?

Back

Prisms have two parallel bases and rectangular sides, while pyramids have one base and triangular sides that meet at a point.

Front

What is the volume of a rectangular prism with dimensions 4 cm, 5 cm, and 6 cm?

Back

Volume = 4 * 5 * 6 = 120 cm³

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) * π * r² * h

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 * 3² * 9 = 27π cm³