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.

Front

What is the volume of a cylinder with a radius of 5 cm and a height of 10 cm?

Back

V = π(5)²(10) = 250π ≈ 785 cm³.

Front

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

Back

V = (Base Area) × (Height) of the prism.

Front

If the base area of a triangular prism is 20 cm² and its height is 12 cm, what is its volume?

Back

V = 20 cm² × 12 cm = 240 cm³.

Front

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

Back

V = length × width × height.

Front

If a rectangular prism has dimensions 4 cm, 5 cm, and 6 cm, what is its volume?

Back

V = 4 cm × 5 cm × 6 cm = 120 cm³.

Front

What units are used to measure volume?

Back

Common units include cubic centimeters (cm³), cubic meters (m³), and liters.

Front

Which of the following is NOT a unit of volume? square miles, inches³, cm³, cubic feet

Back

Square miles is NOT a unit of volume.

Front

What is the relationship between the volume of a cylinder and its radius and height?

Back

The volume increases with the square of the radius and linearly with height.

Front

How do you find the volume of a cylinder with a diameter of 8 cm and a height of 10 cm?

Back

First, find the radius (r = diameter/2 = 4 cm). Then, V = π(4)²(10) = 160π ≈ 502.65 cm³.