A water tank of height \(\frac{1}{2}\) m has a square base of side 1 \(\frac{1}{2}\)m. If it is filled with water from a water tanker holding 1500 litres, how many litres of water are left in the water tanker? [1000 litres = 1 m\(^3\)]
A
375 litres
B
3750 litres
C
37.5 litres
D
37500 litres
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
Capacity of water tank = (\(\frac{1}{2}\) \times \(\frac{3}{2}\) \times \(\frac{3}{2}\)) m\(^3\) = \(\frac{9}{8}\) m\(^3\) = \(\frac{9}{8}\) \times 1000 litres = 1125 litres.
Water tankers capacity = 1500 litres Amount of water remaining = (1500 - 1125) litres = 375 litres
Source: Myschool Past Questions Archive (Record #75837)