Answer:
16.6 in³
Step-by-step explanation:
Given the ratio of similarity = 2 : 3, then
the ratio of volumes = 2³ : 3³ = 8 : 27
let the volume of prism A be x then by proportion
[tex]\frac{x}{8}[/tex] = [tex]\frac{56}{27}[/tex] ( cross- multiply )
27x = 448 ( divide both sides by 27 )
x = 448 ÷ 27 ≈ 16.6 ( to 1 dec. place )
Prism A has a volume of approx 16.6 in³
