Volume is the amount of space that a 3-dimensional object occupies. It is measured in cubic units, such as cubic centimeters (cm³), cubic meters (m³), etc. Understanding volume helps us calculate the capacity of objects like boxes, tanks, or spheres.

The formula to calculate volume depends on the shape of the object. For example:
- For a rectangular prism: Volume = Length × Width × Height
- For a cylinder: Volume = π × radius² × height
- For a sphere: Volume = (4/3) × π × radius³

Examples:

Example 1: Volume of a Rectangular Prism
A box has a length of 5 cm, a width of 3 cm, and a height of 2 cm. What is its volume?
Using the formula: Volume = Length × Width × Height
Volume = 5 × 3 × 2 = 30 cm³
The box can hold 30 cubic centimeters of space.

Example 2: Volume of a Cylinder
A cylinder has a radius of 4 cm and a height of 10 cm. What is its volume?
Using the formula: Volume = π × radius² × height
Volume = 3.14 × (4 × 4) × 10 = 3.14 × 16 × 10 = 502.4 cm³
The cylinder can hold approximately 502.4 cubic centimeters of space.

Learning about volume is essential in practical scenarios, such as determining how much water a tank can hold or the capacity of a storage container.

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