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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(2)

Answer

Syeda

Member since Jan 25, 2017

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
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