BECE Science 2023 Paper

Concept:Density is the mass of a substance per unit volume. It tells how much matter is packed into each cubic metre.Formula used:$\rho = \dfrac{m}{V}$, where $\rho$ = density, $m$ = mass, $V$ = volumeGiven:Mass $m = 10{,}000 \text{ kg}$Volume $V = 200 \text{ m}^3$Solution:Substitute the values:$\rho = \dfrac{10{,}000 \text{ kg}}{200 \text{ m}^3}$$\dfrac{10{,}000}{200} = \dfrac{100}{2} = 50$So $\rho = 50 \text{ kg m}^{-3}$ (kg divided by $\text{m}^3$ gives $\text{kg m}^{-3}$).Key point: Divide mass by volume. Adding them ($10{,}000 + 200 = 10{,}200$, option D) or multiplying is wrong.Answer:Option A ($50 \text{ kg m}^{-3}$)