The answer is: "7.268 cm" .
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Explanation:
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Since the formula for the volume, "V", of a cube, is:
V = s³ ;
in which: "s" = side length of a cube;
Given: "V = 384 cm³ " ; Plug this value into the formula; to solve for "s" ;
V = s³ ;
↔ s³ = V ;
s³ = V ;
s³ = 384 cm³ ;
Take the "cubic root" of EACH SIDE of the equation; to isolate "s" on one side of the equation ; & to solve for "s" ;
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∛(s³) = ∛ (384 cm³) ;
s = 7.2684823713285586 cm
Round to: 7.268 cm .
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