Volume of Prisms and Pyramids

Front

What is the formula for the volume of a prism?

Back

Volume = Base Area × 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

Tags

CCSS.HSG.GMD.A.3

Front

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

Back

Volume = 20 cm² × 10 cm = 200 cm³

Tags

CCSS.7.G.B.6

Front

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

Back

Volume = 4 cm × 5 cm × 6 cm = 120 cm³

Tags

CCSS.7.G.B.6

Front

If a prism has a base area of 15 m² and a height of 8 m, what is its volume?

Back

Volume = 15 m² × 8 m = 120 m³

Tags

CCSS.7.G.B.6

Front

What is the volume of a square pyramid with a base side of 4 cm and a height of 9 cm?

Back

Volume = (1/3) × (4 cm × 4 cm) × 9 cm = 48 cm³

Tags

CCSS.HSG.GMD.A.3

Front

How do you find the volume of a cylinder?

Back

Volume = π × radius² × height

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

Volume = π × (3 cm)² × 5 cm ≈ 141.37 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

The volume of a pyramid is one-third that of a prism with the same base area and height.

Tags

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a radius of 2 cm and a height of 6 cm?

Back

Volume = (1/3) × π × (2 cm)² × 6 cm ≈ 8.38 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3