1. **Problem:** Find the lateral surface area (LSA), surface area (SA), and volume (V) of a cube with side length $7$ meters. 2. **Formulas for a cube:** - Lateral Surface Area (LSA) = $4a^2$ - Surface Area (SA) = $6a^2$ - Volume (V) = $a^3$ where $a$ is the side length. 3. **Calculate LSA:** $$LSA = 4 \times 7^2 = 4 \times 49 = 196$$ 4. **Calculate SA:** $$SA = 6 \times 7^2 = 6 \times 49 = 294$$ 5. **Calculate Volume:** $$V = 7^3 = 343$$ 6. **Answer:** - Lateral Surface Area = $196$ m$^2$ - Surface Area = $294$ m$^2$ - Volume = $343$ m$^3$