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3D Geometry
· Formula🧮 Formula Reference Sheet
Cube: V = s³, SA = 6s² Cuboid: V = lwh, SA = 2(lw+wh+lh) Sphere: V = (4/3)πr³, SA = 4πr² Cylinder: V = πr²h, SA = 2πr(r+h) Cone: V = (1/3)πr²h Euler: F + V = E + 2
⚡ Example per formula
Cube: V = s³, SA = 6s²
↳side 5 → V=125, SA=150
Cuboid: V = lwh, SA = 2(lw+wh+lh)
↳5×4×3 → V=60
Sphere: V = (4/3)πr³, SA = 4πr²
↳r=3 → V=36π, SA=36π
Cylinder: V = πr²h, SA = 2πr(r+h)
↳r=3, h=10 → V=90π
Cone: V = (1/3)πr²h
↳r=3, h=10 → V=30π (1/3 of cyl)
Euler: F + V = E + 2
↳cube: F=6, V=8, E=12 → 6+8 = 12+2 ✓
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