Volume of prisms and cylinders

Front

What is the formula for the volume of a prism?

Back

V = Base Area × Height

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h

Front

What units are used to measure volume?

Back

Cubic units (e.g., cm³, m³, in³) are used to measure volume.

Front

What is the difference between a radius and a diameter?

Back

The radius is half the diameter; it is the distance from the center of a circle to its edge.

Front

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

Back

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

Front

What is the volume of a triangular prism with a base area of 20 cm² and a height of 10 cm?

Back

V = Base Area × Height = 20 cm² × 10 cm = 200 cm³.

Front

Which of the following is NOT a unit of volume: cm³, m², in³, or L?

Back

m² is NOT a unit of volume; it is a unit of area.

Front

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

Back

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

Front

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

Back

V = π(4 cm)²(10 cm) = 160π cm³ ≈ 502.65 cm³.

Front

What is the significance of π in volume calculations for cylinders?

Back

π is used to calculate the area of the circular base of the cylinder.