First find the length of one edge of the cube. We'll call this s. The surface area of a cube which has 6 square faces, and the area of each face is , is: and this is given as 294, so... Divide both sides by 6. Take the square root of both sides. or We'll discard the negative solution as the length is a positive quantity. Now we have the length of one edge of the cube, we can find the cube's volume by:cubic units.