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
1 answer:
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
=
( 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
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