Formulas for 3D Shapes

3D Shape Formulas (Surface Areas and Volumes)

Volume Rect. Prism

Volume Rect. Prism

(L)(W)(H)

Volume of Cylinder

π r² h

Volume of triangular prism

(½bh) × L

Volume of Regular Polygon Prism

[½(apothem)(perimeter)]h

Volume of Cone

⅓ (πr²) h

Surface Area of Cone

πr² + πrℓ

Surface Area of Rectangular Prism

2ℓw + 2ℓh + 2wh

Surface Area of Cylinder

2πr² + πdh

Volume of square/rectangular Pyramid

⅓(Base area)(h)

Area of a regular polygon

½perimeter x apothem

Area of a triangle

½bh

Area of a circle

πr²

Surface Area of a Hexagonal Prism

2(½ap) + 6(bh)

Surface Area of a Sphere

4πr²

Surface Area of a Hemisphere

3πr²

Volume of a trapezoidal prism

[½(b1+b2)h] x L

Volume of a Triangular Pyramid

⅓(Base area)(h)

Volume of a Hemisphere

 2/3πr³

Volume of a Sphere

 4/3πr³