Volume of Cylinders and Rectangular prisms

Front

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

Back

The volume V of a rectangular prism is given by the formula V = length × width × height.

Front

How do you calculate the volume of a cylinder?

Back

The volume V of a cylinder is calculated using the formula V = πr²h, where r is the radius and h is the height.

Front

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

Back

The volume of a cube is calculated as V = side³. For a side length of 3 inches, V = 3³ = 27 cubic inches.

Front

If the radius of a cylinder is 5 cm and the height is 10 cm, what is its volume?

Back

Using the formula V = πr²h, V = π(5)²(10) = 250π cubic cm, approximately 785 cubic cm.

Front

What units are used to measure volume?

Back

Volume is measured in cubic units, such as cubic centimeters (cm³), cubic meters (m³), or cubic inches (in³).

Front

What is the volume of a cube with a side length of 4 inches?

Back

The volume is V = 4³ = 64 cubic inches.

Front

Which of the following is a correct unit for volume? 25 m², 25 m³, 25 in?

Back

25 m³ is a correct unit for volume.

Front

What is the volume of a cylinder with a diameter of 6 inches and a height of 10 inches?

Back

First, find the radius: r = diameter/2 = 3 inches. Then, V = π(3)²(10) = 90π cubic inches, approximately 282.74 cubic inches.

Front

If a rectangular prism has a length of 4 cm, a width of 3 cm, and a height of 5 cm, what is its volume?

Back

V = length × width × height = 4 × 3 × 5 = 60 cubic cm.

Front

What is the volume of a cylinder with a radius of 2 inches and a height of 5 inches?

Back

V = π(2)²(5) = 20π cubic inches, approximately 62.83 cubic inches.