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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 cm³ of wood cost ₹2.00

Answers(3)

Answer

Syeda

Answer.

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

Kishore Kumar

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

Parthasaradhi M

Member since Apr 1, 2017

\\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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