Unlock the power of solid geometry with our comprehensive 3D shapes calculator. Easily determine the volume and surface area of cubes, cuboids, cylinders, spheres, and cones. Perfect for students, engineers, and anyone needing quick, accurate spatial measurements for design, construction, or academic purposes.
Formula:
The formulas for calculating the volume (V) and surface area (SA) of various 3D shapes are fundamental in solid geometry:
- Cube: V = s3, SA = 6s2 (where 's' is the side length)
- Cuboid (Rectangular Prism): V = lwh, SA = 2(lw + lh + wh) (where 'l' is length, 'w' is width, 'h' is height)
- Cylinder: V = πr2h, SA = 2πrh + 2πr2 (where 'r' is radius, 'h' is height)
- Sphere: V = (4/3)πr3, SA = 4πr2 (where 'r' is radius)
- Cone: V = (1/3)πr2h, SA = πr(r + √(h2 + r2)) (where 'r' is base radius, 'h' is perpendicular height)
Our online calculator automatically applies these specific formulas based on your chosen shape and the dimensions you provide.