Calculate the volume of 3D shapes including cubes, spheres, cylinders, cones, and rectangular prisms. Enter the required dimensions and get instant results with visual diagrams.
Given: Side = 4 cm
Solution:
V = s³ = 4³ = 64 cm³
Given: Radius = 3 m
Solution:
V = (4/3)πr³ = (4/3)π × 27 = 36π ≈ 113.1 m³
Given: r = 5 in, h = 10 in
Solution:
V = πr²h = π × 25 × 10 = 250π ≈ 785.4 in³
Given: l=6, w=4, h=3 ft
Solution:
V = 6 × 4 × 3 = 72 ft³
Given: r = 6 cm, h = 8 cm
Solution:
V = (1/3)π × 36 × 8 = 96π ≈ 301.6 cm³
Volume is the amount of three-dimensional space enclosed by a closed surface. It is measured in cubic units such as cubic meters (m³), cubic centimeters (cm³), or cubic feet (ft³).
| Shape | Formula | Variables |
|---|---|---|
| Cube | V = s³ | s = side length |
| Sphere | V = (4/3)πr³ | r = radius |
| Cylinder | V = πr²h | r = radius, h = height |
| Rectangular Prism | V = l × w × h | l = length, w = width, h = height |
| Cone | V = (1/3)πr²h | r = radius, h = height |