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ICSE Class 8 Answered

The sum of length, breadth and depth of a cuboid is 18 cm and the length of its diagonal is 12 cm. Find the total surface area of the cuboid 
Asked by nathsantanukumar | 11 Nov, 2018, 05:01: PM
answered-by-expert Expert Answer
Surface area of cuboid = 2(lb + bh + lh)
Given that
l + b + h = 18
D = 12 = begin mathsize 16px style square root of straight l squared plus straight b squared plus straight h squared end root end style
l2 + b2 + h2 = 122 = 144
(l + b + h)2 = l2 + b2 + h2 + 2(lb + bh + hl)
182 = 122 + 2(lb + bh + hl)
2(lb + bh + hl) = 324 - 144 = 180
 
Answered by Sneha shidid | 12 Nov, 2018, 12:06: PM

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