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BECE Mathematics 2017 Paper

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Question : 31

Total: 40

Tins of milk each of volume

77 \,\mathrm{cm}^3

and weight 170 g were packed into an empty carton of volume

1540 \,\mathrm{cm}^3

and weight 500 g.

What is the weight of the carton when packed with the tins of milk?

$\;\; 2.06 \,\mathrm{kg}$
$\;\; 2.94 \,\mathrm{kg}$
$\;\; 3.90 \,\mathrm{kg}$
$\;\; 8.50 \,\mathrm{kg}$

Solution:

Concept:

Find the number of tins that fit in the carton, then add the total weight of the tins to the empty carton's weight.

Explanation:

Volume of carton

= 1540 \, \mathrm{cm}^3

Volume of 1 tin

= 77 \, \mathrm{cm}^3

Number of tins

= \dfrac{1540}{77} = 20

Weight of 1 tin

= 170 \, \mathrm{g}

Total weight of tins

= 170 \times 20 = 3400 \, \mathrm{g}

Weight of empty carton

= 500 \, \mathrm{g}

Total weight when packed

= 3400 + 500 = 3900 \, \mathrm{g}

Convert to kilograms:

3900 \, \mathrm{g} = \dfrac{3900}{1000} = 3.90 \, \mathrm{kg}

Answer:

C.

\;\; 3.90 \, \mathrm{kg}

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