Option C:
The scale factor of the larger prism to the smaller prism is [tex]\frac{21}{19}[/tex].
Solution:
Two rectangular prisms are similar.
Surface area of the smaller prism = 361 cm²
Surface area of the larger prism = 441 cm²
Scale factor of larger prism to smaller prism
[tex]$=\frac{\sqrt \text{{Surface area of larger prism}} }{\sqrt\text{{Surface area of smaller prism} }}[/tex]
[tex]$=\frac{\sqrt {441} }{\sqrt{361}}[/tex]
[tex]$=\frac{\sqrt {21^2} }{\sqrt{19^2}}[/tex]
Both square and square roots are cancelled, we get
[tex]$=\frac{21}{19}[/tex]
The scale factor of the larger prism to the smaller prism is [tex]\frac{21}{19}[/tex].
Hence Option C is the correct answer.
