Answer:
scale factor of the smaller prism to the larger prism is B. 21/23
Step-by-step explanation:
Given
surface areas of two similar hexagonal prisms are 882cm² and 1,058 cm²?
scale factor is ratio of sides of two similar objects
thus scale factor for given prism will be = side of smaller prism / side of larger prism
in general rule
If shape of solid has scale factor of k
scale factor of area = k²
scale factor of volume = k³
_____________________________
Given in the problem area of two prism is given
we know area = side^2
scale factor of area = k²
k^2 = area of smaller prism / area of larger prism
[tex]k^2 = 882 / 1058 = 441/529\\k = \sqrt{ 441/529} \\k = 21/23[/tex]
Thus, correct option is B 21/23.
