Question

Analyze the diagram below and complete the instructions that follow.

Given that the two rectangular prisms are similar, find the scale factor and the ratio of their surface areas.​

Answer 1

Step-by-step explanation:

$scale \: factor = \frac{7}{28} = \frac{1}{4}$

$ratio \:of \:surface \:areas\\

=\frac{2[5\times 7 + 7\times 3+3\times 5]}{2[20\times 28+ 28\times 12+12\times 20] }\\\\

=\frac{[35 + 21+15]}{[560+ 336+240] }\\\\

=\frac{71}{1136}\\\\

=\frac{1}{16}\\\\

= 1\: :\: 16$