Volume of Pyramids and Cones

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.HSG.GMD.A.3

CCSS.8.G.C.9

Front

Calculate the volume of a pyramid with a base area of 36 m² and a height of 9 m.

Back

Volume = (1/3) × 36 m² × 9 m = 108 m³

Tags

CCSS.HSG.GMD.A.3

Front

Calculate the volume of a cone with a radius of 3 ft and a height of 5 ft using π = 3.14.

Back

Volume = (1/3) × 3.14 × (3 ft)² × 5 ft = 28.26 ft³

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

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 the height of a cone is doubled while keeping the radius the same, how does the volume change?

Back

The volume doubles.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Front

What is the volume of a cone with a radius of 2 m and a height of 4 m?

Back

Volume = (1/3) × π × (2 m)² × 4 m = 16.76 m³ (using π ≈ 3.14)

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Front

How do you round the volume of a shape to the nearest whole number?

Back

Look at the first decimal place: if it's 5 or more, round up; if it's less than 5, round down.

Front

What is the volume of a pyramid with a square base of side 4 m and a height of 3 m?

Back

Volume = (1/3) × (4 m × 4 m) × 3 m = 16 m³

Tags

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a diameter of 10 cm and a height of 5 cm?

Back

Volume = (1/3) × π × (5 cm)² × 5 cm = 130.9 cm³ (using π ≈ 3.14)

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9