A closed wooden box 80 cm long, 65 cm wide and 45 cm high, is made of 2.5 cm-thick wood. Find the capacity of the box and its weight if $100 c m^{3}$ of wood weighs 8 g.

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Solution

Outer length =80 cm.

Outer width =65 cm.

Outer height =45 cm.

Total volume $= 80 \times 65 \times 45 c m^{3}$

$= 234000 c m^{3}$

Thickness of wood =2.5 cm.

$∴$ Inner length $= 80 - 2 \times 2.5 = 75 c m .$

Inner width $= 65 - 2 \times 2.5 = 60$ cm.

Inner height $= 45 - 2 \times 2.5 = 40$ cm.

(i)\therefore Inner capacity (volume)

$= 75 \times 60 \times 40 c m^{3} 3 = 180000 c m^{3}$

Volume of wood $= 234000 - 180000$

$= 54000 c m^{3}$

$∴$ Weight of wood $= \frac{54000 \times 8}{100} g$

$= 4320 g = 4.320 k g$

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A closed wooden box 80 cm long, 65 cm wide and 45 cm high, is made of 2.5 cm-thick wood. Find the capacity of the box and its weight if 100cm3 of wood weighs 8 g.

A closed wooden box 80 cm long, 65 cm wide and 45 cm high, is made of 2.5 cm-thick wood. Find the capacity of the box and its weight if $100 c m^{3}$ of wood weighs 8 g.