If the length breadth and height of a solid cube are in the ratio 4:3:2 and total surface area is 832cm2. Find its volume.
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length = 4x breadth = 3x height = 2x
TSA = 2(lb+bh+hl)
832 = 2(4x*3x+3x*2x+2x*4x)
416 = 12x^2+6x^2+8x^2
416 = 26x^2
16 = x^2
x = 4
length 4*4 = 16 cm
breadth 3*4 = 12 cm
height 2*4 = 8 cm
volume l*b*h
16*12*8
1536 cm^3
hope it helps you
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