Question

If there are two bags of equal volume, one containing sugar and other containing cotton, state which one is heavier.
Given the volume of bag$=2{\mathrm{m}}^3$, Density of cotton=$20\mathrm{kg}/{\mathrm{m}}^3$, mass of sugar=$30\mathrm{kg}$

Answer 1

Step-1:given data
Two bags are of equal volume ,volume=$=2{\mathrm{m}}^3$
Two bags contain cotton and sugar,

Density of cotton= $20\mathrm{kg}/{\mathrm{m}}^3$

Mass of sugar=$30\mathrm{kg}$

Step-2:Calculating heavier bag
Density is defined as amount of mass of an object per unit volume , it also describes heaviness or lightness of an object.

$\mathrm{formula}\mathrm{of}\mathrm{density}\mathrm{is}\mathrm{density}=\frac{\mathrm{mass}}{\mathrm{volume}}$

$$\begin{gathered} \mathrm{Density}\mathrm{of}\mathrm{cotton}=\frac{\mathrm{mass}\mathrm{of}\mathrm{cotton}}{\mathrm{volume}\mathrm{of}\mathrm{bag}} \\ \mathrm{mass}\mathrm{of}\mathrm{cotton}=\mathrm{volume}\mathrm{of}\mathrm{bag}\times \mathrm{density}\mathrm{of}\mathrm{cotton}=2\times 20 \\ \mathrm{mass}\mathrm{of}\mathrm{cotton}=40\mathrm{kg} \end{gathered}$$

Given mass of sugar bag=$30\mathrm{kg}$

Thus by comparing mass of sugar and cotton bag, we can say that the cotton bag is heavier.