Volume of Prisms and Pyramids

Front

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

Back

Volume = length × width × height (V = l × w × h)

Tags

CCSS.7.G.B.6

Front

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

Back

Volume = (Base Area × Height) (V = (1/2 × base × height) × height)

Tags

CCSS.7.G.B.6

Front

What is the formula for the volume of a pyramid?

Back

Volume = (1/3) × Base Area × Height (V = (1/3) × b × h)

Tags

CCSS.HSG.GMD.A.3

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 meet at a point.

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Front

What is the volume of a prism with a base area of 10 cm² and a height of 5 cm?

Back

Volume = Base Area × Height = 10 cm² × 5 cm = 50 cm³

Tags

CCSS.7.G.B.6

Front

What is the volume of a pyramid with a base area of 12 cm² and a height of 4 cm?

Back

Volume = (1/3) × Base Area × Height = (1/3) × 12 cm² × 4 cm = 16 cm³

Tags

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder?

Back

Volume = π × radius² × height (V = πr²h)

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone?

Back

Volume = (1/3) × π × radius² × height (V = (1/3)πr²h)

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a pentagonal prism with a base area of 20 cm² and a height of 10 cm?

Back

Volume = Base Area × Height = 20 cm² × 10 cm = 200 cm³

Tags

CCSS.7.G.B.6

Front

What is the volume of a cube with a side length of 3 cm?

Back

Volume = side³ = 3 cm × 3 cm × 3 cm = 27 cm³

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2