Question

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

Answer 1

Answer:

The ratio of their surface area is given by:

                    9:64

Step-by-step explanation:

We know that if two solids are similar such that the ratio of their sides or edges is given by: $\dfrac{a}{b}$

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

            $\dfrac{a^2}{b^2}$

Here we have:

        $\dfrac{a}{b}=\dfrac{3}{8}$

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

      $\dfrac{a^2}{b^2}=\dfrac{3^2}{8^2}\\\\\\\dfrac{a^2}{b^2}=\dfrac{9}{64}$

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

                          9:64

Answer 2

The answer is 9:64 I just took the quiz on APEX :)