Question

A sponge and a bar of soap occupy the same amount of space, but the soap is much more dense than the sponge. Why is that?

Answer 1

Explanation:

Density is defined as the amount of mass of a substance present in per unit volume.

Mathematically,         Density = $\frac{mass}{volume}$

As density is directly proportional to mass. So, a substance that has more mass will have more density.

Since, both soap and sponge are occupying same volume. But a soap bar is heavier than a piece of sponge because a soap bar has more mass than a sponge.

Thus, we can conclude that the soap is much more dense than the sponge because soap bar weighs more than a sponge.

Answer 2

The density (d) of the substance is the quotient obtained when we divide the mass (m) of an object by the volume (v) it occupies. Mathematically,
                              d = m / v
The density of soap is greater compared to that of the sponge because soap is so much heavier compared to sponge. Sponges are usually made up of porous lightweight materials.