BECE Science 2021 Paper

Concept:Density measures how much mass is packed into a given volume.For a solid cube, density is obtained by dividing its mass by its volume.Explanation:The side of the aluminium cube is given as $2\ \text{m}$.For a cube, the volume is side $\times$ side $\times$ side, or side$^3$.So, volume $V = 2^3 = 2 \times 2 \times 2 = 8\ \text{m}^3$.The formula for density is:$$\rho = \frac{\text{Mass}}{\text{Volume}}$$Substitute the given mass $m = 24\ \text{kg}$ and calculated volume $V = 8\ \text{m}^3$:$$\rho = \frac{24\ \text{kg}}{8\ \text{m}^3} = 3\ \text{kg}\ \text{m}^{-3}$$Thus, the density of the aluminium is $3\ \text{kg}\ \text{m}^{-3}$.Answer:A. $3\ \text{kg}\ \text{m}^{-3}$