Answer:
A. 196 m²
Step-by-step explanation:
The two similar solids have volumes 1728 m³ and 343 m³.
The ratio of their side lengths is :
[tex]\sqrt[3]{1728}:\sqrt[3]{343}[/tex]
This simplifies to:
[tex]12:7[/tex]
If the surface area of the larger solid is 576 m², then the surface area of the smaller solid is given by:
[tex]\frac{7^2}{12^2}\times 576=196[/tex]
The correct answer is A