Question

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Answer 1

Let the length, breadth and height of rectangular parallelopipe be 6x , 3x and x.TSA of rectangular parallelopiped = 2(length×breadth + breadth × height + height × length)=2(6x × 3x + 3x × x + x ×6x)=2[18x2 + 3x2 + 6x2]=54x2 sq unitsNow, TSA of cube = 54x2⇒6(side)2 = 54x2⇒side = 3x unitNow, volume of rectangular parallelopiped = length×breadth×height = 6x × 3x × x = 18x3 cubic unitsvolume of cube = (side)3 = (3x)3 = 27x3 cubic unitsNow, volume of cubevolume of rectangular parallelopiped = 27x318x3 = 32 = 3 : 2