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The internal dimensions of a closed box, made up of iron 1 cm thick, are 24 cm by 18 cm by 12 cm. Find the volume of iron in the box.

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2096 {cm}^{3}

2095 {cm}^{3}

2094 {cm}^{3}

2093 {cm}^{3}

answer is A.

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Detailed Solution

Given,
Length of box, =24 cm
Breadth of box =18 cm
Height of box= 12 cm
Internal volume of the box

= l \times b \times h

= 24 \times 18 \times 12

= 5184 {cm}^{3} .

Now, Calculate external length

= [24 + (1 + 1)]

= 26 cm

External Breadth

= [18 + (1 + 1)]

= 20 cm

External height

= [12 + (1 + 1)]

= 14 cm

So, the external volume can be given as,

= 26 \times 20 \times 14

= 7280 {cm}^{3}

Volume of Iron
= External volume of box - Internal volume of the box

= 7280 - 5184

= 2096 {cm}^{3}

Correct option is 1.

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