Three solid shapes, A, B and C are similar.

The surface area of shape A is 9cm^2

The surface area of shape B is 16cm^2

The ratio of the volume of shape B to the volume of 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.

A:C = 9:20

Step-by-step explanation:

The ratio of the surface area of similar solid is equal to the square of the ratio of their corresponding linear measures. If the ratio of their corresponding linear measures is a:b, the surface area ratio will be (a/b)². Therefore,

(A/B )² = 9/16

square root both sides

A/B = √9/√16

A/B = 3/4

A:B = 3:4

The ratio of volume of two similar solid is the ratio cube of their corresponding linear measures. Therefore,

(B/C)³ = 27/125

cube root both sides

B/C = 3/5

B:C = 3:5

To make the ratio equivalent

A:B:C = 9:12:20

A:C = 9:20

ok so the answer to your question is simple as long as you look at the different dimensions that contain the exemplary letters that combined in the right order give you words that eventually within the 5th dimension will conform and give you the correct answer to your question. hope i , stop looking at this easily, look at it with a spectral view.

step-by-step explanation:

told you

5.762159

step-by-step explanation:

it would be 9 because when it is the nine is over five so that would mean it rounds up to 90 or 9