Ans:- All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power. So the length of the edge of a cube with a volume of 125 is 5.wer:
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Answer:
s = [tex]\frac{5}{2}[/tex] in
Step-by-step explanation:
the volume (V) of a cube is calculated as
V = s³ ( s is the edge length )
given V = [tex]\frac{125}{8}[/tex] in³ , then
s³ = [tex]\frac{125}{8}[/tex] ( take cube root of both sides )
[tex]\sqrt[3]{s^3}[/tex] = [tex]\sqrt[3]{\frac{125}{8} }[/tex]
s = [tex]\frac{\sqrt[3]{125} }{\sqrt[3]{8} }[/tex] = [tex]\frac{5}{2}[/tex] ( = 2.5 , in decimal form )
