Volume of Rectangular Prism and Cylinder

The volume of a rectangular prism is given by the formula: $$V = l \times w \times h$$ , where l is the length, w is the width, and h is the height.

The volume of a cylinder is given by the formula: $$V = \frac{1}{3} \times \text{Base Area} \times h$$ , where Base Area = $$\text{Area} = \frac{1}{2} \times \text{Base} \times \text{Height}$$ .

Use volume when determining how much space an object occupies, such as how many items can fit inside a container.

The unit of measurement for volume is cubic units, such as cubic centimeters (cm³), cubic meters (m³), or liters.

Use the formula: $$V = \text{Base Area} \times h = \frac{22}{7} \times 5^2 \times 10 = 785 \text{ cm}^3$$ .

The volume is directly proportional to the product of its length, width, and height.

The volume is $$V = 4 \times 3 \times 2 = 24 \text{ m}^3$$ .

First, find the radius: r = 4 cm. Then, use the formula: $$V = \frac{22}{7} \times 4^2 \times 5 = 80 \text{ cm}^3$$ .

A larger volume means the object can hold more space or more items compared to an object with a smaller volume.

To convert cubic centimeters to liters, divide the volume in cm³ by 1000. (1 L = 1000 cm³)