Answered

The surface areas of two similar pyramids are 48 m2 and 108 m2 Find the scale factor.
A.1/3 B.2/3 C. 3/4 D. 3/3

Answer :

znk

Answer:

[tex]\boxed{ \text{B. }\frac{2}{ 3}}[/tex]

Step-by-step explanation:

The scale factor (C) is the ratio of corresponding sides of the two pyramids.

The ratio of the areas is the square of the scale factor.

[tex]\frac{A_{1}}{ A_{2}} =C^{2}\\ \\\frac{48 }{108} = C^{2}\\\\ \frac{4}{9} = C^{2}\\\\ C = \frac{2}{3}\\\\[/tex]

The scale factor is [tex]\boxed {\frac{2}{3}}[/tex].

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