Height of toy to work out surface area????

Question

The height of a small toy is 20cm. The surface area of the same toy is 300cm². A larger toy has a height of 120cm and has the same mathematics to calculate the surface area. What is the surface area of the larger toy?

Answer 1

The ratio of area is as the square of the ratio of any linear part.

 

The ratio of the heights is 6:1

The ratio of the areas shall be 6²:1

 

The surface area of the larger toy is 36·300, 10800cm²