The two solids similar and the ratio between the lengths of their edges is 3: 8 whats is the ratio of their surface area

The ratio of their surface area is given by:

                    9:64

We know that if two solids are similar such that the ratio of their sides or edges is given by:

Then the ratio of the surface area of the two solids is given by:

Here we have:

Hence, on squaring both side of the equality we obtain:

   Hence, the ratio of the surface area of two similar solids is:

                          9:64

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step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

step-by-step explanation:

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