Question

the inner dimensions of a closed wooden box are 2m by 1.2 m by 0.75 my the thickness of the wood is 2.5 cm find the cost of wood required to make the box if 1 metercube of wood costs 5400. I wants it full solution

Answer 1

Answer:

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Answer 2

Given, the inner dimension of closed wooden box = 2 m × 1.2 m × 0.75 m

So, volume of wooden box as per given inner dimensions = 2 m × 1.2 m × 0.75 m = 1.8 m3

Also, thickness of wood = 2.5 cm

Now, the length of outer wooden box = length of inner wooden box + thickness of wood

= length of inner wooden box + length increased on both sides of inner wooden box due to thickness of wood

= 2 m + 0.025 m + 0.025 m

= 2.05 m

Similarly, breadth of outer wooden box = breadth of inner wooden box + thickness of wood = 1.2 m + 0.025 m + 0.025 m = 1.25 m

and height of outer wooden box = height of inner wooden box + thickness of wood = 0.75 m + 0.025 m + 0.025 m = 0.8 m

Now, volume of wooden box as per outer dimensions = 2.05 m ×1.25 m × 0.8 m = 2.05 m3

So, net amount of wood required to construct the wooden box = volume of wooden box as per outer dimensions - volume of wooden box as per given inner dimensions = 2.05 m3 - 1.8 m3 = 0.25 m3

Given, cost of 1m3 of wood = Rs 5400

Therefore, cost of 247.75 m3 of wood = Rs 5400 × 0.25 = Rs 1350