# Find the Volume of The Cube: If

Answered

If the total surface area of a cube is 864 cm square, find the volume of the cube:

- 1728 cm
^{3} - 1624 cm
^{3} - 144 cm
^{3} - 1684 cm
^{3}

Best answer

**Answer: (1) 1728 cm ^{3}**

**Explanation:-**

**Given-**

Total surface area of a cube = 864 cm square

**Formula-**

**Surface area of a cube = 6 a**

^{2}**Where, a – side of cube.**

Then, 6 a^{2} = 864

a^{2} = 864/6

a^{2} = 144

Square root of both side,

a = 12

**Formula-**

** Volume of a cube = a ^{3}**

**Where, a – side of a square.**

Then, the volume of a cube = 12^{3}

= 12 x 12 x 12

= 1728 cm^{3}

Hence, the answer is (1) 1728 cm^{3}