The height of the cube is 9 cm, Which is mentioned in option D, if the volume of cube is 729 cubic centimeters.
Explanation:
The given is,
Volume, V = 729 Cubic centimeters
Step:1
Formula for volume of cube,
[tex]Volume, V = a^{3}[/tex]...............................(1)
Where, a - Side of cube
From the given value, Volume, V = 729 Cubic centimeters
Equation (1) becomes,
[tex]729=a^{3}[/tex]
Take cube root on both sides, the above equation becomes
[tex]a=\sqrt[3]{729}[/tex]
[tex]= 9[/tex]
a = 9 cm
Height of cube, a = 9 centimeters
Result:
The height of the cube is 9 cm, Which is mentioned in option D, if the volume of cube is 729 cubic centimeters.
