Question

The external dimensions of a closed wooden box are 27 cm, 19 cm and 11 cm. If the thickness of the wood in the box is 1.5 cm; find the cost of the box, if wood costs 1.20 per $c{m}^3;$

• A. Rs. 3,085.20
• B. Rs. 3,885.20
• C. Rs. 3,325.20
• D. Rs. 3,625.20

Answer 1

The correct option is A Rs. 3,085.20

Given,
The external dimensions of a closed wooden box are $27cm,19cm$ and $11cm$ respectively.
As the thickness is $1.5cm$ , the internal length, breadth and height of the closed box are $27-2\left(1.5\right)=24cm,19-2\left(1.5\right)=16cm$ and
$11-2\left(1.5\right)=8cm$ respectively.
Now, volume of wood used to make the box

$=$ Volume with the external dimensions $-$ Volume with the internal dimensions
=> Volume of wood used to make the box $=(27\times 19\times 11)-(24\times 16\times 8)=5643-3072=2571cucm$
So, cost of the wood $=1.20\times 2571=Rs3085.2$