To find the volume of an object, you measure how much space it occupies, usually in cubic units.

How to Calculate Volume

For rectangular shapes (cuboids and cubes):

• Use the formula:

Volume=length×width×height\text{Volume}=\text{length}\times \text{width}\times \text{height}Volume=length×width×height

• For a cube, since all sides are equal, multiply one side by itself three times:

V=s×s×s=s3V=s\times s\times s=s^3V=s×s×s=s3

• Example: A cuboid with length 6 cm, width 2 cm, and height 5 cm has volume:

6×2×5=60 cm36\times 2\times 5=60\text{ cm}^36×2×5=60 cm3

For compound shapes:

• Find the volume of each simple shape separately and add them together.

For other shapes:

• Cylinder:

V=πr2hV=\pi r^2hV=πr2h

• Cone:

V=13πr2hV=\frac{1}{3}\pi r^2hV=31​πr2h

• Sphere:

V=43πr3V=\frac{4}{3}\pi r^3V=34​πr3

Here, rrr is the radius, hhh is the height, and π≈3.14\pi \approx 3.14π≈3.14.

Units

• Volume is measured in cubic units, such as cm³, m³, or mm³.

Summary

• Measure the dimensions of the object.
• Use the appropriate volume formula depending on the shape.
• Multiply the dimensions according to the formula.
• Express the answer in cubic units.

This method applies to solids; for liquids, volume can be measured by the container or by dividing mass by density