Prisms and Pyramids Assignment

Front

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

Back

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

Tags

CCSS.HSG.GMD.A.3

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

Tags

CCSS.HSG.GMD.A.3

Front

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

Back

Volume = base area * height

Tags

CCSS.7.G.B.6

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

Tags

CCSS.7.G.B.6

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

Tags

CCSS.7.G.B.6

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

Tags

CCSS.7.G.B.6

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.

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

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

Tags

CCSS.7.G.B.6

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) * π * r² * h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3