Question

In most of the formulas of finding the volume of the solid figures, "base area x height" is used. How is it possible that they are using the same formula but they are different solid figures?

Explain.
PLEASE HELP MEE

Answer 1

Explanation :-

• If any liquid like water is poured into the solid figure, the height of that liquid gives the volume of the solid figure.
• Since liquids are denser than gases and due to gravity liquid fills the solid container from the base.
• So, the volume of the liquid collected inside that solid figure gives its Volume.

Hence base area and height are important to calculate the volume.

Suppose if we take the example of a cylinder, the amount of water that can be filled in it gives the volume.

Volume of cylinder = Base area × Height

Base is a circle.

So, its base area = πr²h

∴ Volume of cylinder = πr²h

The formula Base area × Height can be applied for all solid figures for finding the volume.