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Question
The external dimensions of a closed wooden box are 48 cm, 36 cm, 30 cm. The box is made of 1.5 cm thick wood. How many bricks of size 6 cm × 3 cm × 0.75 cm can be put in this box?
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Solution
\[\text { The outer dimensions of the closed wooden box are 48 cm } \times 36 cm \times 30 cm . \]
\[\text { Also, the box is made of a 1 . 5 cm thick wood, so the inner dimensions of the box will be } (2\times1.5=3)\text { cm less}.\]
\[\text { i . e . , the inner dimensions of the box are 45 cm } \times 33 cm \times 27 cm\]
\[ \therefore \text { Volume of the box = 45 } \times 33 \times 27 = 40095 {cm}^3 \]
\[\text { Also, the dimensions of a brick are 6 cm } \times 3 cm \times 0 . 75 cm . \]
\[\text { Volume of a brick = 6 } \times 3 \times 0 . 75 = 13 . 5 {cm}^3 \]
\[ \therefore\text { The number of bricks that can be put in the box }= \frac{40095}{13 . 5} = 2970\]
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