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Keisam Robin

Oct 16, 2013

# The outer dimensions of a closed wooden box are 10 cm x 8 cm x 7 cm.

The outer dimensions of a closed wooden box are 10 cm by 8 cm by 7 cm. Thickness of the wood is 1 cm. Find the total cost of wood required to make box if 1 cmÂ³ of wood cost â‚¹2.00

Syeda

Answer. Given outer length = 10 cm Outer breadth = 8 cm Outer height = 7 cm Outer volume = length Ã— breadth Ã— height = 10 Ã— 8 Ã— 7 = 560 cm3 Thickness of wooden box, w = 1 cm Inner length = l â€“ 2w = 10 â€“ 2 = 8 cm Inner breadth = b â€“ 2w = 8 â€“ 2 = 6 cm Inner height = h â€“ 2w = 7 â€“ 2 = 5 cm Outer volume = 8 Ã— 6 Ã— 5 = 240 c m3 Volume of wood used = outer volume â€“ inner volume  = 560 â€“ 240 = 320 cm3 Given cost of 1 cm3 of wood = Rs 2 Hence the total cost of wood required = Rs 2 Ã— 32 = Rs 640 SME Approved

Kishore Kumar

Given outer length = 10 cm Outer breadth = 8 cm Outer height = 7 cm Outer volume = length Ã— breadth Ã— height = 10 Ã— 8 Ã— 7 = 560 cm3 Thickness of wooden box, w = 1 cm Inner length = l â€“ 2w = 10 â€“ 2 = 8 cm Inner breadth = b â€“ 2w = 8 â€“ 2 = 6 cm Inner height = h â€“ 2w = 7 â€“ 2 = 5 cm Outer volume = 8 Ã— 6 Ã— 5 = 240 c m3 Volume of wood used = outer volume â€“ inner volume  = 560 â€“ 240 = 320 cm3 Given cost of 1 cm3 of wood = Rs 2 Hence the total cost of wood required = Rs 2 Ã— 320 = Rs 640

Member since Apr 1, 2017

$\fn_cm \\Solution\\ Given:Outer \ dimensions\ of\ a\ closed\ wooden\ box\ are\ 10 cm \times8 cm\times 7 cm\\\\ \Rightarrow Outer\ volume\ of\ cuboid=10\times8\times\7=560cm^3\\\\\ Given:Thickness= 1cm\\ So, subtract\ the\ 1cm\ from\ each\ end\ of\ length\ , breadth\ and\ height\\\\ Inner \ dimensions\ of\ a\ closed\ wooden\ box\\ Length\ \ \ =10-1-1=8 cm\\ Breadth\ =8-1-1=6 cm\\ Height\ \ \ =7-1-1=5 cm\\\\ \Rightarrow Inner\ volume\ of\ cuboid=8\times6\times\5=560cm^3=240cm^3\\\\\ Volume\ of\ wooden\ used=Outer\ volume\ of\ cuboid-Inner\ volume\ of\ cuboid\\\\ =560-240=320cm^3\\\\ Now,\\ Given: Cost\ of\ 1cm^3\ of\ wood=Rs.2\\ Total\ cost\ of\ wood\ required\ to\ make\ box=320\times2=Rs.\ 640$
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