Answer:
The length of one side of the cube is 1.4 m
Explanation:
we know that
In a cube the length, the width and the height is the same
so
The volume of a cube is
![V=b^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/p181lnr2vy5fb7v8k4b18lbapokbo3749o.png)
where
b is the length side of the cube
In this problem we have
![V=2.744\ m^3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/cclarr3risr6icx3pc7010dsx1lvhwa801.png)
substitute and solve for b
![2.744=b^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/yh5eshxky206fimb9xc01ltr8v1rnu35cg.png)
![b=\sqrt[3]{2.744}\ m](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6jxlmm4lfc2enubv491z3k0hr92w1z70ld.png)
![b=1.4\ m](https://img.qammunity.org/2020/formulas/mathematics/middle-school/q0kzh6t2stf2f16n4bx4cnnhnfn3i636wj.png)
therefore
The length of one side of the cube is 1.4 m