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BECE Mathematics 2010 Paper

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Question : 28

Total: 40

A rectangular box has length 20 cm, width 6 cm and height 4 cm. Find how many cubes of size 2 cm that will fit into the box.

120
60
30
15

Solution:

Number of fits

\;\;\text{ }\;=\;\frac{\;\text{ Bigger Volume }\;}{\;\text{ Smaller Volume }\;}

Volume of rectangular box

\;=\;\text{ Length }\;\times\;\text{ Width }\;\times\;\text{ Height }

Volume of the rectangular box

\text{ }\;=20\;\text{cm}\times6\;\text{cm}\times4\;\text{cm}

Volume of the rectangular box

=480\;\text{cm}^3

Volume of cube

=\;\text{ Length }\;\times\;\text{ Length }\;\times\;\text{ Length }

Volume of the cube

=2\;\text{cm}\times2\;\text{cm}\times2\;\text{cm}

Volume of the cube

=8\;\text{cm}^3

Number of fits

=\;\frac{480}{8}

Number of fits

=60

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