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.8.G.C.9

CCSS.HSG.GMD.A.3

Front

Calculate the volume of a square pyramid with a base side length of 4cm and height of 6cm.

Back

Volume = (1/3) × (4cm × 4cm) × 6cm = 32cm³

Tags

CCSS.HSG.GMD.A.3

Front

Calculate the volume of a cone with a radius of 5cm and height of 12cm using π = 3.14.

Back

Volume = (1/3) × 3.14 × (5cm)² × 12cm = 62.83cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the difference between a prism and a pyramid?

Back

A prism has two parallel bases of the same shape, while a pyramid has one base and triangular faces that meet at a point.

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Front

If the base radius of a cone is doubled, how does it affect the volume?

Back

The volume increases by a factor of four, since volume is proportional to the square of the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a base radius of 3cm and height of 7cm?

Back

Volume = (1/3) × π × (3cm)² × 7cm = 21.12cm³ (using π = 3.14)

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

Find the volume of a pyramid with a triangular base of area 10cm² and height 9cm.

Back

Volume = (1/3) × 10cm² × 9cm = 30cm³

Tags

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a base radius of 4cm and height of 5cm?

Back

Volume = (1/3) × π × (4cm)² × 5cm = 20.93cm³ (using π = 3.14)

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the volume of a composite shape that includes a cone and a cylinder?

Back

Calculate the volume of each shape separately and then add them together.

Tags

CCSS.5.MD.C.5C