Q.2.94 - An Introduction to General, Organic, and Biological Chemistry

Question

The grey cube has a density of $4.5 g/c{m}^3$ . Is the density of the green cube the same, lower than, or higher than that of the grey cube? (2.7)

Step-by-Step Solution

Answer

The green cube's density is lower than that of the grey cube.

Step 1: introduction

The grey cube has a smaller volume than the green cube, as seen in the diagram. In any case, the masses are altered to show that they are similar in mass.

Step 2: explanation

we know,

density = $\frac{\text{ Mass of the cube }\left(\mathrm{g}\right)}{\text{ Volume of the cube }\left({\mathrm{cm}}^3\right)}$

The green cube is lower than the grey cube as from the equation given above, density and volume have an inverse relationship.

hence, the density of the green cube is lower than that of the grey cube