A box with lid is made of $2\ cm$ thick wood. Its external length, breadth and height are $25\ cm, 18\ cm$ and $15\ cm$ respectively. How much cubic cm of a liquid can be placed in it? Also, find the volume of the wood used in it.
Given:
A box with lid is made of $2\ cm$ thick wood. Its external length, breadth and height are $25\ cm, 18\ cm$ and $15\ cm$ respectively.
To do:
We have to find the volume of the liquid that can be placed in it and the volume of the wood used in it.
Solution:
Outer length of the closed wooden box $(l) = 25\ cm$
Outer breadth of the box $(b) = 18\ cm$
Outer height of the box $(h) = 15\ cm$
Width of the wood $= 2\ cm$
This implies,
Inner length of the box $= 25 - 2\times2$
$= 25- 4$
$= 21\ cm$
Inner breadth of the box $=18- 2\times2$
$= 18-4$
$= 14\ cm$
Inner height of the box $=15- 2\times2$
$= 15- 4$
$=11\ cm$
Outer volume of the box $= 25 \times 18 \times 15$
$= 6750\ cm^3$
Inner volume of the box $= 21 \times 14 \times 11$
$= 3234\ cm^3$
Volume of the wood $= 6750 - 3234$
$= 3516\ cm^3$
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