**Surface Area & Volume Formulas**

1. **Cube**  
   - Total Surface Area = 6s²  
   - Diagonal = s√3  
   - Volume = s³  

2. **Rectangular Prism**  
   - Total Surface Area = 2(lb + bh + hl)  
   - Volume = l × b × h  
   - Diagonal = √(l² + b² + h²)  

3. **Cylinder**  
   - Total Surface Area = 2πr(h + r)  
   - Volume = πr²h  

4. **Cone**  
   - Total Surface Area = πr(l + r)  
   - Volume = (1/3)πr²h  
   - Slant Height = √(r² + h²)  

5. **Sphere**  
   - Total Surface Area = 4πr²  
   - Volume = (4/3)πr³  

6. **Hemisphere**  
   - Total Surface Area = 3πr²  
   - Volume = (2/3)πr³  

7. **Frustum of a Cone**  
   - Volume = (1/3)πh(R² + Rr + r²)  
   - Total Surface Area = π(R + r)√(h² + (R - r)²)  

8. **Regular Polygon**  
   - Number of Diagonals = n(n - 3)/2  
   - Perimeter = n × a (where a = side length)  

9. **Convex Polygon**  
   - Sum of Exterior Angles = 360°  
   - Sum of Interior Angles = (n - 2) × 180°  

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Surface Area Volume Formulas Cube Total

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Prompt

Surface Area & Volume Formulas

  1. Cube

    • Total Surface Area = 6s²
    • Diagonal = s√3
    • Volume = s³
  2. Rectangular Prism

    • Total Surface Area = 2(lb + bh + hl)
    • Volume = l × b × h
    • Diagonal = √(l² + b² + h²)
  3. Cylinder

    • Total Surface Area = 2πr(h + r)
    • Volume = πr²h
  4. Cone

    • Total Surface Area = πr(l + r)
    • Volume = (1/3)πr²h
    • Slant Height = √(r² + h²)
  5. Sphere

    • Total Surface Area = 4πr²
    • Volume = (4/3)πr³
  6. Hemisphere

    • Total Surface Area = 3πr²
    • Volume = (2/3)πr³
  7. Frustum of a Cone

    • Volume = (1/3)πh(R² + Rr + r²)
    • Total Surface Area = π(R + r)√(h² + (R - r)²)
  8. Regular Polygon

    • Number of Diagonals = n(n - 3)/2
    • Perimeter = n × a (where a = side length)
  9. Convex Polygon

    • Sum of Exterior Angles = 360°
    • Sum of Interior Angles = (n - 2) × 180°

Feel free to customize as needed!

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