Answer:
823.7 m²
Step-by-step explanation:
Given the ratio of sides = 5 : 6, then
the ratio of area = 5² : 6² = 25 : 36
let x be the area of the larger prism then by proportion
[tex]\frac{25}{572}[/tex] = [tex]\frac{36}{x}[/tex] ( cross- multiply )
25x = 36 × 572 ( divide both sides by 25 )
x = [tex]\frac{36(572)}{25}[/tex] ≈ 823.7
The surface area of the larger prism is 823.7 ( nearest tenth )
