Volume of Prisms and Cylinders

Front

What is the formula for the volume of a rectangular prism?

Back

Volume = length × width × height.

Tags

CCSS.7.G.B.6

Front

What is the formula for the volume of a triangular prism?

Back

Volume = 1/2 × base of triangle × height of triangle × height of prism.

Tags

CCSS.7.G.B.6

Front

What is the formula for the volume of a cylinder?

Back

Volume = π × radius² × height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a prism?

Back

Multiply the area of the base by the height of the prism.

Tags

CCSS.7.G.B.6

Front

What is the volume of a prism with a base area of 20 m² and a height of 5 m?

Back

Volume = 20 m² × 5 m = 100 m³.

Tags

CCSS.7.G.B.6

Front

If the height of a cylinder is doubled, what happens to its volume?

Back

The volume also doubles.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 10 cm?

Back

Volume = π × (3 cm)² × 10 cm = 90π cm³ or approximately 282.74 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a prism with a base area of 15 cm² and a height of 4 cm?

Back

Volume = 15 cm² × 4 cm = 60 cm³.

Tags

CCSS.7.G.B.6

Front

If a triangular prism has a base of 6 cm, a height of 4 cm, and a height of the prism of 10 cm, what is its volume?

Back

Volume = 1/2 × 6 cm × 4 cm × 10 cm = 120 cm³.

Tags

CCSS.7.G.B.6

Front

What is the volume of a cylinder with a radius of 5 cm and a height of 8 cm?

Back

Volume = π × (5 cm)² × 8 cm = 200π cm³ or approximately 628.32 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3