Question

The length ,breadth and height of a cuboid are in the ratio 1:2:3. If its total surface area is "1100cm square, then its volume is

Answer 1

let the length be x

breadth be 2x

& height be 3x

therefore, total surface area = 2(lb+bh+hl)

1100=2(2xsq+6xsq+3xsq)

1100=2(11xsq)

1100/2=11xsq

550=11xsq

xsq=550/11

xsq=50

x= root of 50

x=7.07

therefore, l=7.07

b=2×7.07=14.14

h=3×7.07=21.21

so, volume of a cuboid=l×b×h

7.07×14.14×21.21=2120.35

I hope it helps you...........