The external dimensions of a closed wooden box are 62 cm, 30 cm and 18 cm. If the box 1s made of 2-cm-thick wood, find the capacity of the box.

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Solution

Outer length of box =62 cm.

Outer width =30 cm.

Outer height =18 cm.

Thickness of wood =2 cm.

$∴$ Internal length $= 62 - 2 \times 2 = 58 c m .$

Internal width $= 30 - 2 \times 2 = 26 c m .$

Internal height $= 18 - 2 \times 2 = 14 c m .$

Capacity of the box =lbh

$= 58 \times 26 \times 14 c m^{3} = 21112 c m^{3}$

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The external dimensions of a closed wooden box are 62 cm, 30 cm and 18 cm. If the box 1s made of 2-cm-thick wood, find the capacity of the box.

Outer length of box =62 cm. Outer width =30 cm. Outer height =18 cm. Thickness of wood =2 cm. ∴ Internal length =62−2×2=58cm. Internal width =30−2×2=26cm. Internal height =18−2×2=14cm. Capacity of the box =lbh =58×26×14cm3=21112cm3