Volume of pyramids

Front

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

Back

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

Tags

CCSS.HSG.GMD.A.3

Front

What does 'B' represent in the volume formula of a pyramid?

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 of a pyramid?

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

If the base area of a pyramid is 50 cm² and the height is 12 cm, what is the volume?

Back

Volume = (1/3) * 50 * 12 = 200 cm³.

Tags

CCSS.HSG.GMD.A.3

Front

Which measurement is NOT needed to calculate the volume of a pyramid?

Back

The length of the slant height.

Tags

CCSS.HSG.GMD.A.3

Front

What is the volume of a pyramid with a base area of 100 m² and a height of 3 m?

Back

Volume = (1/3) * 100 * 3 = 100 m³.

Tags

CCSS.HSG.GMD.A.3

Front

If a pyramid has a volume of 1500 m³ and a base area of 300 m², what is its height?

Back

Height = (3 * Volume) / B = (3 * 1500) / 300 = 15 m.

Tags

CCSS.HSG.GMD.A.3

Front

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

Back

Base area = 4 * 4 = 16 m²; Volume = (1/3) * 16 * 9 = 48 m³.

Tags

CCSS.HSG.GMD.A.3

Front

How does the volume of a pyramid compare to that of a prism 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