Question

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 1

`\boxed{ \text{B. }(2)/( 3)}`

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.

`(A_(1))/( A_(2)) =C^(2)\\ \\(48 )/(108) = C^(2)\\\\ (4)/(9) = C^(2)\\\\ C = (2)/(3)\\\\`

The scale factor is
`\boxed {(2)/(3)}`.