Three solid shapes A, B and C are similar the surface of shape A is 9cm² the surface of shape B is 16cm² the ratio of the volume of shape B to the volume to shape C is 27:125 work out the ratio of the height of shape A to the height of shape C. give your answer in its simplest form PLEASE ANSWER ASAP

A:C = 9:20

Step-by-step explanation:

The computation of the ratio is shown below:

We can say that

Surface area ratio = Ratio square

i.e

Now squaring both sides

The ratio is 3: 4

Now in the other case

Volume ratio = Cube ratio

i.e

Now cubing root both sides

So,

Therefore  

B : C = 3:5

Now for making the equivalent ratios

A:B:C = 9:12:20

So,

A:C = 9:20

use distributive property on all like terms and change your signs if you have a double negative or if you have positive/negative

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