A box with a lid is made of wood which is $3 c m$ thick. Its external length, breadth and height are $5 c m, 39 c m$ 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

Volume $= (56 - 6) \times (39 - 6) \times (30 - 6)$
$= 39600 c m^{3}$
Volume of wood $= 3 c m \times S A o f e x t e r n a l b o x$
$\Rightarrow 3 \times 2 (56 \times 39 + 56 \times 30 \times 39 \times 30)$
$\Rightarrow 30204 c m^{3} .$
Hence, the answer is $30204 c m^{3} .$

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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 5 cm,39 cm and 30 cm respectively. Find the capacity of the box. Also find the volume of wood used to make the box.

Volume =(56−6)×(39−6)×(30−6) =39600cm3Volume of wood =3cm×SAofexternalbox⇒3×2(56×39+56×30×39×30)⇒30204cm3.Hence, the answer is 30204cm3.

A box with a lid is made of wood which is $3 c m$ thick. Its external length, breadth and height are $5 c m, 39 c m$ and $30 c m$ respectively. Find the capacity of the box. Also find the volume of wood used to make the box.

Volume $= (56 - 6) \times (39 - 6) \times (30 - 6)$
$= 39600 c m^{3}$
Volume of wood $= 3 c m \times S A o f e x t e r n a l b o x$
$\Rightarrow 3 \times 2 (56 \times 39 + 56 \times 30 \times 39 \times 30)$
$\Rightarrow 30204 c m^{3} .$
Hence, the answer is $30204 c m^{3} .$