A box with a lid is made of wood which is $3 c m$ thick. Its external length, breadth and height are $56 c m, 39 c m$ and $30 c m$ respectively. Find the capacity of the box. Also, find the volume of wood used to make the box.

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Solution

For external box,
$L = 56$ CM
$B = 39$ CM
$H = 30$ CM

VOLUME $= L \times B \times H = 56 \times 39 \times 30 = 65520$ CM³
For internal ,
$L = 56 - 6 = 50$ cm
$B = 39 - 6 = 33$ cm
$H = 30 - 6 = 24$ cm

VOLUME $= L \times B \times H = 50 \times 33 \times 24 = 39600$ CM³
WOOD USED $= 65520 - 39600 = 25920$ CM³

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A box with a lid is made of wood which is 3 cm thick. Its external length, breadth and height are 56 cm,39 cm and 30 cm respectively. Find the capacity of the box. Also, find the volume of wood used to make the box.

For external box, L=56 CMB=39 CMH=30 CMVOLUME =L×B×H=56×39×30=65520 CM³For internal , L=56−6=50 cmB=39−6=33 cmH=30−6=24 cmVOLUME =L×B×H=50×33×24=39600 CM³WOOD USED =65520−39600=25920 CM³

A box with a lid is made of wood which is $3 c m$ thick. Its external length, breadth and height are $56 c m, 39 c m$ and $30 c m$ respectively. Find the capacity of the box. Also, find the volume of wood used to make the box.