Volume of Prisms, Pyramids, Cones

Front

What is the formula for the volume of a prism?

Back

Volume = Base Area × Height

Tags

CCSS.7.G.B.6

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 formula for the volume of a cone?

Back

Volume = (1/3) × π × r² × Height

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a composite solid?

Back

Calculate the volume of each individual solid and then sum them up.

Tags

CCSS.5.MD.C.5C

Front

If a cone has a radius of 3 cm and a height of 5 cm, what is its volume?

Back

Volume = (1/3) × π × (3 cm)² × (5 cm) = 15π cm³ ≈ 47.1 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cube with a side length of 4 cm?

Back

Volume = side³ = (4 cm)³ = 64 cm³

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

How do you find the volume of a cylinder?

Back

Volume = π × r² × Height

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

The volume of the cone is 1/3 of the volume of the cylinder.

Tags

CCSS.3.MD.A.2

Front

If a rectangular prism has a length of 10 ft, width of 5 ft, and height of 2 ft, what is its volume?

Back

Volume = Length × Width × Height = 10 ft × 5 ft × 2 ft = 100 ft³

Tags

CCSS.7.G.B.6

Front

What is the volume of a sphere?

Back

Volume = (4/3) × π × r³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3