Volume (Prisms, Cylinders, Cones, Pyramids)

Front

What is the formula for the volume of a prism?

Back

Volume = Base Area × Height

Tags

CCSS.7.G.B.6

Front

How do you calculate the volume of a cylinder?

Back

Volume = π × r² × h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

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 and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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 relationship between the volume of a cylinder and a cone with the same base and height?

Back

The volume of the cone is one-third the volume of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

Define volume in the context of geometry.

Back

Volume is the amount of space an object occupies.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

What is the volume of a rectangular prism with length 5 cm, width 4 cm, and height 3 cm?

Back

Volume = 5 cm × 4 cm × 3 cm = 60 cm³.

Tags

CCSS.7.G.B.6

Front

How do you find the volume of a sphere?

Back

Volume = (4/3) × π × r³, where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a pyramid with a square base of side length 6 in and height 9 in?

Back

Volume = (1/3) × (6 in × 6 in) × 9 in = 108 in³.

Tags

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a diameter of 10 cm and a height of 12 cm?

Back

Volume = (1/3) × π × (5 cm)² × 12 cm = 83.33 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3