📐 Geometry Calculator Pro
Effortlessly calculate **Volume** and **Surface Area** for 3D geometric shapes.
1. Select Shape & Enter Dimensions
4. Results & Detailed Breakdown
Calculation Breakdown 📝
Shape Preview
Step-by-Step Formulas
V = s3 = 53 = 125.0000SA = 6s2 = 6 × 52 = 150.0000Understanding 3D Geometry Calculations
This calculator determines two essential properties for eight common three-dimensional shapes: Volume (V) and Surface Area (SA).
Key Geometric Definitions
Volume (V)
Volume measures the amount of three-dimensional space a solid object occupies. It is always measured in cubic units (units³).
Surface Area (SA)
Surface Area is the total area of the exposed surfaces of a three-dimensional object. It is always measured in square units (units²).
Shape-Specific Formulas
📦 Cube
Volume (s = side length)
V = s³Surface Area (s = side length)
SA = 6s²⚽ Sphere
Volume (r = radius)
V = (4/3)πr³Surface Area (r = radius)
SA = 4πr²🥫 Cylinder
Volume (r = radius, h = height)
V = πr²hSurface Area (r = radius, h = height)
SA = 2πr(r + h)🍦 Cone
Slant Height (l)
l = √(r² + h²)Volume (r = radius, h = height)
V = (1/3)πr²hSurface Area (l = slant height)
SA = πr(r + l)📏 Rectangular prism
Volume (l = length, w = width, h = height)
V = l × w × hSurface Area (l, w, h)
SA = 2(lw + lh + wh)🔺 Square pyramid
Slant Height (l) (b = base side, h = height)
l = √(h² + (b/2)²)Volume (b = base side, h = height)
V = (1/3)b²hSurface Area (l = slant height)
SA = b² + 2bl🌓 Hemisphere
Volume (r = radius)
V = (2/3)πr³Surface Area (r = radius)
SA = 3πr²🍩 Torus
Volume (R = major radius, r = minor radius)
V = 2π²Rr²Surface Area (R = major radius, r = minor radius)
SA = 4π²RrShare
Volume Calculator – Cube, Sphere, Cylinder & Cone Volume | Solvezi