Volume of Pyramids and Cones

Front

What is the formula for the volume of a pyramid?

Back

Volume = (1/3) * B * h, where B is the area of the base and h is the height.

Tags

CCSS.HSG.GMD.A.3

Front

What does 'B' represent in the volume formula for pyramids?

Back

'B' represents the area of the base of the pyramid.

Tags

CCSS.HSG.GMD.A.3

Front

What does 'h' represent in the volume formula for pyramids?

Back

'h' represents the height of the pyramid.

Tags

CCSS.HSG.GMD.A.3

Front

Calculate the volume of a pyramid with a base area of 36 yd² and a height of 6 yd.

Back

Volume = (1/3) * 36 * 6 = 72 yd³.

Tags

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) * π * r² * h, where r is the radius of the base and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What does 'r' represent in the volume formula for cones?

Back

'r' represents the radius of the base of the cone.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

Volume = (1/3) * π * (3)² * 5 ≈ 47.12 m³.

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 the pyramid is one-third the volume of the prism.

Tags

CCSS.HSG.GMD.A.3

Front

If a pyramid has a base area of 50 cm² and a height of 9 cm, what is its volume?

Back

Volume = (1/3) * 50 * 9 = 150 cm³.

Tags

CCSS.HSG.GMD.A.3

Front

What is the significance of the height in the volume formulas for pyramids and cones?

Back

The height determines how tall the shape is, affecting the overall volume.

Tags

CCSS.HSG.GMD.A.3