Question

the dimension of a cuboid are in the ratio of 1:2:3 and its total surface area is 88m^2 find the dimensions​

Answer 1

Let the sides be - a,2a,3a

so, TSA=2(lb+bh+lh)

        88 =2(a x 2a + 2a x 3a + a x 3a)

        88/2=2(2a x a +6a x a +3a x a)

        44=11a x a

        44/11  =a x a

        2 x  2 =a x a

         a =2

  so , sides are = 2m , 4m , 6m

Answer 2

Let the dimentions be x , 2x , 3x 

So total surface area =2(lb+bh+lb)

                                     

⇒  2(2x²+6x²+3x²)

                                 

  ⇒   22x²=88m²

                                   

 ⇒    x=2m

So the dimensions are 2m , 2m , 6m ans

i hope its hlp you