Question

Find the similarity ratio of a prisik with surface area 64ft2 to a similar prisim with surface area 121ft2

Awnsers. A.8:11 B.11:8 c. 512:1;331
D. 1,331:512

Answer 1

we know that

surface area smaller prism=[scale factor]²*surface area larger prism
scale factor=√[surface area smaller prism/surface area larger prism]
scale factor=√[64/121]-----> 0.73

therefore

case a) 8/11-----> 0.73 is ok
case b) 11/8----> 1.375 is not 0.73
case c) 512/1331-----> 0.38 is not 0.73
case d) 1331/512----> 2.6 is not 0.73

the answer is
the option A.8:11