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frez [133]
3 years ago
15

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

Mathematics
2 answers:
erma4kov [3.2K]3 years ago
6 0
<h2>Answer:</h2>

The ratio of their surface area is given by:

                    9:64

<h2>Step-by-step explanation:</h2>

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

xeze [42]3 years ago
4 0

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

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