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WAEC Mathematics 2025 Paper

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Question : 25

Total: 50

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

]

375 litres
3750 litres
37.5 litres
37500 litres

Solution:

Concept:

Volume of the tank gives the water it can hold, then subtract from the tanker’s capacity.

Explanation:

The tank has height

\frac{1}{2}

m and square base side

1\frac{1}{2}

m.

Convert

1\frac{1}{2}

m to

\frac{3}{2}

m.

Volume of tank

= \frac{3}{2} \times \frac{3}{2} \times \frac{1}{2} = \frac{9}{8}

m

^3

.

Using

1

m

^3 = 1000

litres, tank capacity

= \frac{9}{8} \times 1000 = 1125

litres.

Water left in the tanker

= 1500 - 1125 = 375

litres.

Answer:

A. 375 litres

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