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

what are you trying to solve here

step-by-step explanation:

vertical asymptote .

horizontal asymptote .

step-by-step explanation:

given function is .

vertical asymptote is given by setting

denominator =0

when degree of numerator and denominator are same then divide first term of numerator by first term of denominator to get horizontal asymptote.