2015 · Q60
A large water tank has the shape of a cube. If 128{m}³ of water is pumped out, the water level goes down by 2 m. Then the maximum capacity of the tank is
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A512{m}³
- B480{m}³
- C324{m}³
- D256{m}³
Explanation
This is a volume-of-a-cuboid problem. Removing 128 m³ lowers the level by 2 m, so the tank's base area is 128/2 = 64 m². Since the tank is a cube, each side is √64 = 8 m, and the full capacity is 8³ = 512 m³. Option (d) 256 m³ is the trap from mishandling the side-length step. Hence option (a).