If prism a and prism b have a ratio of similarity of 2: 3, what is the volume of prism a if prism b's volume is 56 cubic inches

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

= ( 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

0.50 , 0.75

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step-by-step explanation: