
Surface Area Volume Formulas Cube Total
Created:
Prompt
Surface Area & Volume Formulas
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Cube
- Total Surface Area = 6s²
- Diagonal = s√3
- Volume = s³
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Rectangular Prism
- Total Surface Area = 2(lb + bh + hl)
- Volume = l × b × h
- Diagonal = √(l² + b² + h²)
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Cylinder
- Total Surface Area = 2πr(h + r)
- Volume = πr²h
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Cone
- Total Surface Area = πr(l + r)
- Volume = (1/3)πr²h
- Slant Height = √(r² + h²)
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Sphere
- Total Surface Area = 4πr²
- Volume = (4/3)πr³
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Hemisphere
- Total Surface Area = 3πr²
- Volume = (2/3)πr³
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Frustum of a Cone
- Volume = (1/3)πh(R² + Rr + r²)
- Total Surface Area = π(R + r)√(h² + (R - r)²)
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Regular Polygon
- Number of Diagonals = n(n - 3)/2
- Perimeter = n × a (where a = side length)
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Convex Polygon
- Sum of Exterior Angles = 360°
- Sum of Interior Angles = (n - 2) × 180°
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