If the surface area of a cube is 1014 m², then its volume is:

Correct option is B

Given:

the surface area is 1014 m²

Formula Used:

The surface area ($A$) of a cube is given by the formula

​$$A = 6(s)^2$$ 

The volume (V) of a cube is given by: 

​$$V = s^3$$​​

where s is the length of one side of the cube. 

Solution:

​$$1014 = 6s^2 \\ \ \\ s^2 =\frac{1014}{6} \\ \ \\ s = 13 \ m$$

So, 

Volume = $$13 \times 13 \times 13 = 2197 \ m^3$$​​

A=6s2A = 6s^2