Answer:
A = [tex]\frac{3}{4}[/tex] [tex]\sqrt[3]{B}[/tex]
Step-by-step explanation:
Given A varies directly as [tex]\sqrt[3]{B}[/tex] then the equation relating them is
A = k [tex]\sqrt[3]{B}[/tex] ← k is the constant of variation
To find k use the condition A = 3 when B = 64 , then
3 = k [tex]\sqrt[3]{64}[/tex] = 4k ( divide both sides by 4 )
[tex]\frac{3}{4}[/tex] = k
A = [tex]\frac{3}{4}[/tex] [tex]\sqrt[3]{B}[/tex] ← equation of variation
