The diagonal of a cube with sides and the diagonal of a cubold with demensions & b h acre same. The value of and I of any s and b are same =ht. If (1 tha) is equal to the area face cube. Find the length of the diagonal of cuboid. Find the volume of the cuboid
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The dimensions of the cuboid are a,b,c.
We know that, Volume of the cuboid V=abc and surface area of the cuboid S=2(ab+bc+ac)
To prove: V1=S2[a1+b1+c1]
Consider LHS, V1=abc1...(1)
Consider RHS.
S2[a1+b1+c1]=2(ab+bc+ac)2[a1+b1+c1]
=ab+bc+ac1[a1+b1+c1
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