Volume of Prisms and Cylinders

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, 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 triangular prism?

Back

V = (base area)(height)

Tags

CCSS.7.G.B.6

Front

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

Back

V = length × width × height.

Tags

CCSS.7.G.B.6

Front

What are the units for volume?

Back

Cubic units (e.g., cm³, m³, yd³).

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

What does volume measure?

Back

Volume measures the amount of space an object occupies.

Front

If the radius of a cylinder is 3 cm and the height is 5 cm, what is the volume?

Back

V = π(3)²(5) = 45π cm³ (approximately 141.37 cm³).

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a radius of 4 m and a height of 10 m?

Back

V = π(4)²(10) = 160π m³ (approximately 502.65 m³).

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the base area of a triangular prism?

Back

Base area = 1/2 × base × height of the triangle.

Tags

CCSS.7.G.B.6

Front

What is the volume of a prism with a base area of 20 cm² and a height of 8 cm?

Back

V = (20 cm²)(8 cm) = 160 cm³.

Tags

CCSS.7.G.B.6

Front

What is the volume of a cube with a side length of 3 m?

Back

V = side³ = 3³ = 27 m³.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2