a closed cubical box of edge 20cm is made up of wood of thickness 2 cm.find the:
[a] volume of wood used to make it.
[b] volume of air trapped in it.
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Banupriya:
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edge of cube = 20cm
thickness = 2cm
volume of external cube = 20³
= 8000cm³
volume of internal cube = (20-2(2))³
= 16³
= 4096cm³
then volume of wood used = volume of external-volume of internal cube
= 8000-4096
= 3904cm³
volume of air trapped = volume of internal cube
= 16³
= 4096cm³
thickness = 2cm
volume of external cube = 20³
= 8000cm³
volume of internal cube = (20-2(2))³
= 16³
= 4096cm³
then volume of wood used = volume of external-volume of internal cube
= 8000-4096
= 3904cm³
volume of air trapped = volume of internal cube
= 16³
= 4096cm³
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