# CBSE Class 10 Answered

In cuboid the length of its diagonal is 5√5 and sum of its length breadth and depth is 19 than find it's TSA

Asked by manishbennalli | 01 Apr, 2020, 07:25: PM

Expert Answer

Let

*l*,*b*and*h*be the length, breadth and depth of a cuboid.Given:

*l*+*b*+*h*= 19 ... (i)Also, given that the length of its diagonal is 5√5

Therefore, we have

√(

*l*^{2}+*b*^{2}+*h*^{2}) = 5√5Squaring on both the sides, we have

*l*

^{2}+

*b*

^{2}+

*h*

^{2}= 125 ... (ii)

Squaring equation (i),

(

*l*+*b*+*h*)^{2}= 19^{2}= 361*l*

^{2}+

*b*

^{2}+

*h*

^{2}+ 2(

*lb*+

*bh*+

*lh*) = 361

From (ii),

125 + 2(

*lb*+*bh*+*lh*) = 3612(

*lb*+*bh*+*lh*) = 361 - 125 = 236Surface area of the cuboid = 2(

*lb*+*bh*+*lh*) = 236 cm^{2}.
Answered by Renu Varma | 02 Apr, 2020, 11:28: AM

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