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I need you to solve question no 5 only

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Step 1

To prove that the volume of a rectangular solid under the given conditions attains its maximum when all the sides are equal (cube)

Step 2

The diagram represents the rectangular box of varying sides L , B and H inscribed inside the sphere of radius R ,say. For varying L,B,H , we obtain different volumes, and we need to show that the maximum volume is attained when all the sides are equal (in other words, the box is a cube)

Step 3

To maximize V  (as a function of the vari...

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