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,
...............................(1)
Where, a - Side of cube
From the given value, Volume, V = 729 Cubic centimeters
Equation (1) becomes,
![729=a^{3}](https://tex.z-dn.net/?f=729%3Da%5E%7B3%7D)
Take cube root on both sides, the above equation becomes
![a=\sqrt[3]{729}](https://tex.z-dn.net/?f=a%3D%5Csqrt%5B3%5D%7B729%7D)
![= 9](https://tex.z-dn.net/?f=%3D%209)
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.