Volume of Pyramids

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 base area of a pyramid?

Back

The base area is the area of the shape that forms the base of the pyramid.

Tags

CCSS.7.G.B.6

Front

How do you calculate the height of a pyramid?

Back

The height is the perpendicular distance from the base to the apex (top point) of the pyramid.

Front

If the base of a pyramid is a square with side length 's', what is the base area?

Back

Base Area = s²

Tags

CCSS.7.G.B.6

Front

What is the volume of a pyramid with a base area of 50 cm² and a height of 12 cm?

Back

Volume = (1/3) × 50 cm² × 12 cm = 200 cm³

Tags

CCSS.HSG.GMD.A.3

Front

How does the volume of a pyramid compare to 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

What is the volume of a pyramid with a triangular base with an area of 30 cm² and a height of 10 cm?

Back

Volume = (1/3) × 30 cm² × 10 cm = 100 cm³

Tags

CCSS.HSG.GMD.A.3

Front

What units are used to measure the volume of a pyramid?

Back

Volume is measured in cubic units, such as cm³, m³, etc.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

If a pyramid has a volume of 192 cm³ and a base area of 48 cm², what is its height?

Back

Height = (Volume × 3) / Base Area = (192 cm³ × 3) / 48 cm² = 12 cm.

Tags

CCSS.HSG.GMD.A.3

Front

What is the relationship between the height and volume of a pyramid?

Back

Increasing the height of a pyramid while keeping the base area constant increases the volume.

Tags

CCSS.HSG.GMD.A.3