Question

the inner dimensionof a closed wooden box 2m*1.2m*0.75m.the thickness of the woodis2.5m find the cost of wood reqiured to make the box if 1 cubic metre of wood costs rupees 5400

Answer 1

Answer:

Given

Inner dimensions of wooden box are 2m by 1.2m by 0.75m

Thickness of the wood =2.5cm=1002.5m=0.025 m

Now

External dimensions of wooden box are

=(2+2×0.025) by (1.2+2×0.025) by (0.75+2×0.025)

=(2+0.05) by (1.2+0.05) by (0.75+0.5)

=2.05 by 1.25 by 0.80

Thus

Volume of solid = External volume of box - Internal volume of box

=2.05×1.25×0.80m3−2×1.2×0.75m3=2.05−1.80=0.25m3

Given, the cost of wood =Rs 5400 for 1m3

Hence, Total cost =Rs 5400×0.25=Rs 5400×10025=Rs 54×25=Rs 1350