surface area of a cube is 1014 square CM its volume will be
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1014=6a^2
√1014=6a
a=5.31 cm
√1014=6a
a=5.31 cm
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Surface area of a cube=1014 square centimetre
![= > 6a {}^{2} = 1014 = > 6a {}^{2} = 1014](https://tex.z-dn.net/?f=+%3D++%26gt%3B+6a+%7B%7D%5E%7B2%7D++%3D+1014)
![= >a {}^{2} = \frac{1014}{6} = >a {}^{2} = \frac{1014}{6}](https://tex.z-dn.net/?f=+%3D++%26gt%3Ba+%7B%7D%5E%7B2%7D++%3D++%5Cfrac%7B1014%7D%7B6%7D+)
![= > a {}^{2} = 169 = > a {}^{2} = 169](https://tex.z-dn.net/?f=+%3D++%26gt%3B+a+%7B%7D%5E%7B2%7D++%3D+169)
![=> a = \sqrt{169} => a = \sqrt{169}](https://tex.z-dn.net/?f=+%3D%26gt%3B+a+%3D++%5Csqrt%7B169%7D+)
![= > 13 = > 13](https://tex.z-dn.net/?f=+%3D++%26gt%3B+13)
So,one side of cube is of length 13 cm.
Now it volume:
![= a {}^{3} = a {}^{3}](https://tex.z-dn.net/?f=+%3D+a+%7B%7D%5E%7B3%7D+)
![= 13 {}^{3} = 13 {}^{3}](https://tex.z-dn.net/?f=+%3D+13+%7B%7D%5E%7B3%7D+)
![= 2197 = 2197](https://tex.z-dn.net/?f=+%3D+2197)
So,the volume of cube is 2197 cubic centimeter
Surface area of a cube=1014 square centimetre
So,one side of cube is of length 13 cm.
Now it volume:
So,the volume of cube is 2197 cubic centimeter
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