3D Shape Volume & Surface Area Calculator

Basic & Round Shapes

• Cube: V = s³, SA = 6s²
• Cuboid: V = lwh, SA = 2(lw+lh+wh)
• Sphere: V = (4/3)πr³, SA = 4πr²
• Hemisphere: V = (2/3)πr³, SA = 3πr²
• Cylinder: V = πr²h, SA = 2πr²+2πrh
• Cone: V = (1/3)πr²h, SA = πr²+πrl
• Torus: V = 2π²Rr², SA = 4π²Rr

Pyramids, Prisms & Platonic Solids

• Pyramid: V = (1/3)b²h, SA = b²+2bl
• Triangular Prism: V = (√3/4)a²×l, SA = (√3/2)a²+3al
• Tetrahedron: V = (√2/12)a³, SA = √3·a²
• Octahedron: V = (√2/3)a³, SA = 2√3·a²

Platonic Solids

• Tetrahedron: 4 equilateral triangular faces
• Cube: 6 square faces
• Octahedron: 8 equilateral triangular faces
• All edges equal, all faces congruent