Help me with this GCSE maths problem please!? I don't have a tutor. :(?

[Ankush]

Mathematically similar solids? Wow they havent mentioned any more?
anyway volumes will be in the ratios of cubes of a dimension. say x^3/y^3 = 27/125.
=> x/y = (27/125)^(1/3) = 3/5.
Surface areas will be in ratios of squares.
Area1/Area2 = x^2/y^2 = 3^2/5^2 = 9/25.
But its given that Area1 = 36 so
Area2= 36*25/9 = 100cm^2

[SoS]

Volume is a cubed measurement so a if you cube root the ratio of volume you will get the ratio of the lengths.
Then if you want to get the area ( which is a square relationship) just square each side of the ratio

So 27:125 for volume relates to 3: 5 for length. so then for the area the ratio is 9:25
so if the smaller area is 36 then all you need to do is 36/9 = 4 and then 4x25 = 100
so the answer is 100cm2.

[SoS]

Volume is a cubed measurement so a if you cube root the ratio of volume you will get the ratio of the lengths.
Then if you want to get the area ( which is a square relationship) just square each side of the ratio

So 27:125 for volume relates to 3: 5 for length. so then for the area the ratio is 9:25
so if the smaller area is 36 then all you need to do is 36/9 = 4 and then 4x25 = 100
so the answer is 100cm2.