Elevana
Karka LMS
Gani
GANI
🧮

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 ✓

✏️

Practice Exercises →

5 graded problems · AI checks each step