Volume of Pyramids and Cones

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

Calculate the volume of a square pyramid with a base side length of 4 cm and a height of 6 cm.

Back

Volume = (1/3) × (4 cm × 4 cm) × 6 cm = 32 cm³

Tags

CCSS.HSG.GMD.A.3

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

Calculate the volume of a cone with a radius of 3 cm and a height of 5 cm.

Back

Volume = (1/3) × π × (3 cm)² × 5 cm ≈ 47.12 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

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

Tags

CCSS.HSG.GMD.A.3

Front

If a pyramid has a base area of 20 cm² and a height of 9 cm, what is its volume?

Back

Volume = (1/3) × 20 cm² × 9 cm = 60 cm³

Tags

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a base radius of 4 cm and a height of 10 cm?

Back

Volume = (1/3) × π × (4 cm)² × 10 cm ≈ 167.55 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the base area of a square pyramid?

Back

Base Area = side length × side length.

Tags

CCSS.7.G.B.6

Front

What is the volume of a cone with a base radius of 5 cm and a height of 12 cm?

Back

Volume = (1/3) × π × (5 cm)² × 12 cm ≈ 62.83 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a pyramid with a triangular base with a base area of 15 cm² and a height of 8 cm?

Back

Volume = (1/3) × 15 cm² × 8 cm = 40 cm³

Tags

CCSS.HSG.GMD.A.3