Respuesta :
[tex] \text{ Total Surface Area of cube, with Side $a$ is } 6a^2 \\ \text{ (six times the area of each face)} \\ 6a^2=294 \ m^2 \\ a^2= \frac{294}{6} \\ a^2=\frac{49\times6}{6} \\ a^2=49 \\ a=\sqrt{49} \\ a=7 \ m \\ \text{Volume of cube with Side $a$ is } a^3 \\ V= 7^3=49\times7 \\ \text{volume of the cube is } 343 \ m^3 [/tex]