BECE Mathematics 2025 Paper

Concept:Volume of a cuboid $= l \times b \times h$ (length $\times$ breadth $\times$ height). The water fills $\dfrac{2}{3}$ of this volume.Given:$l = 5 \text{ m}$, $b = 3 \text{ m}$, $h = 4 \text{ m}$, fraction full $= \dfrac{2}{3}$Solution:Volume of the full container $= 5 \times 3 \times 4 = 60 \text{ m}^3$Water fills two-thirds of it: $\dfrac{2}{3} \times 60 = \dfrac{120}{3}$$= 40 \text{ m}^3$Key point: $20 \text{ m}^3$ is the empty one-third, not the water.Answer:Option B ($40 \text{ m}^3$)