1. **State the problem:** We are given a cube with a surface area of 294 cm² and need to find its volume. 2. **Recall the formulas:** - Surface area of a cube: $$SA = 6s^2$$ where $s$ is the side length. - Volume of a cube: $$V = s^3$$ 3. **Find the side length $s$ using the surface area:** $$6s^2 = 294$$ Divide both sides by 6: $$\cancel{6}s^2 = \cancel{6}49$$ $$s^2 = 49$$ 4. **Solve for $s$:** $$s = \sqrt{49} = 7$$ cm 5. **Calculate the volume:** $$V = s^3 = 7^3 = 343$$ cm³ **Final answer:** The volume of the cube is 343 cm³.