Discussion
A godown is in the shape of a cuboid whose length, breadth and height are 56 m, 42 m and 10 m respectively. How many (maximum) cuboidal boxes each measuring 2.8 m × 2.5 m × 70 cm can be stored into the godown ?
Answer: C
The maximum number of boxes is 4800.
Place each box with its 70 cm (0.7 m) side along the 56 m length, its 2.8 m side along the 42 m breadth and its 2.5 m side along the 10 m height:
\[ \begin{aligned} 56 \div 0.7 &= 80 \\ 42 \div 2.8 &= 15 \\ 10 \div 2.5 &= 4 \\ 80 \times 15 \times 4 &= 4800 \end{aligned} \]
Every division is exact, so the boxes fill the godown completely. The volume check agrees: \(56 \times 42 \times 10 = 23520\ \text{m}^{3}\) and each box is \(2.8 \times 2.5 \times 0.7 = 4.9\ \text{m}^{3}\), and 23520 ÷ 4.9 = 4800. Other orientations leave gaps and hold fewer boxes.
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