Answer:
Surface area of the red prism is 1344 m².
Step-by-step explanation:
Ratio of the sides of the rectangular prisms given in the picture
= [tex]\frac{\text{Length of the red prism}}{\text{Length of the blue prism}}[/tex]
= [tex]\frac{6}{3}[/tex]
= [tex]\frac{2}{1}[/tex]
Ratio of the surface area of both the solids = (Ratio of the sides)²
[tex]\frac{\text{Surface area of the red prism}}{\text{Surface area of the blue prism}}[/tex] = [tex](\frac{2}{1})^{2}[/tex]
[tex]\frac{x}{336}=\frac{4}{1}[/tex]
x = 4 × 336
x = 1344 square meter
Therefore, surface area of the red prism will be 1344 m².
