Outer dimension of closed wooden box is 10 * 8 * 7 thickness of wood is 1 cm find the total cost of wood required to make a box is 1 cm³ of wood = 2 Rupees
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Let Outer dimensions of a closed
box :
Length (L) = 10cm,
Breadth (B) = 8cm
Height(H) = 7cm
Thickness of the box (W) = 1cm
Inner dimensions of the box:
length (l) = L - 2W
= 10 - 2× 1 = 8cm
Breadth (b) = B - 2W
= 8 - 2 = 6 x
Height (h) = H - 2W
= 7 - 2 = 5cm
Now ,
Required wood to make the box
( V ) = LBH - lbh
= 10×8×7 - 8×6×5
= 560 - 240
= 320 cm³
It is given that ,
Cost of 1 cm³ wood = Rs 2
Cost of making the box = 320 × 2
= Rs 640
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