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WAEC Mathematics 2011 Paper

Question : 32

Total: 47

Solution:

Concept:

The oil forms a rectangular prism inside the container.

Use the relation: Volume = length × breadth × height.

Explanation:

Convert the oil volume from litres to cubic centimetres.

Since

1

litre

= 1000\ \mathrm{cm}^3

, we get:

96

litres

= 96 \times 1000 = 96000\ \mathrm{cm}^3

Let the height of the oil be

H

cm.

The base area of the container is:

220 \times 40 = 8800\ \mathrm{cm}^2

Using the volume formula:

96000 = 8800 \times H

Therefore,

H = \dfrac{96000}{8800} = 10.909\ \mathrm{cm}

Correct to the nearest cm,

H \approx 11\ \mathrm{cm}

Answer:

11\ \mathrm{cm}

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