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Volume & Surface Area Calculator

Calculate volume and surface area of 3D geometric shapes including cube, cylinder, cone, and sphere. Essential for geometry, physics, and engineering calculations.

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Cube Calculator

Calculate volume, surface area, space diagonal, and face diagonal of a cube using side length.

Cube Results
0
Volume
0
Surface Area
0
Space Diagonal
0
Face Diagonal
Cube Properties
Side Length N/A
Number of Faces 6
Number of Edges 12
Number of Vertices 8
Volume Formula a³
Surface Area Formula 6a²

Cylinder Calculator

Calculate volume and surface area of a cylinder using radius and height.

Cylinder Results
0
Volume
0
Surface Area
0
Lateral Area
0
Base Area
Cylinder Properties
Radius N/A
Height N/A
Diameter N/A
Volume Formula πr²h
Surface Area Formula 2Ï€r(r+h)
Ï€ Value Used 3.14159

Cone Calculator

Calculate volume and surface area of a cone using radius, height, and slant height.

Cone Results
0
Volume
0
Surface Area
0
Lateral Area
0
Base Area
Cone Properties
Radius N/A
Height N/A
Slant Height N/A
Volume Formula (1/3)πr²h
Surface Area Formula πr(r + √(r²+h²))
Ï€ Value Used 3.14159

Sphere Calculator

Calculate volume and surface area of a sphere using radius, diameter, or circumference.

Sphere Results
0
Volume
0
Surface Area
0
Circumference
0
Diameter
Sphere Properties
Radius N/A
Volume Formula (4/3)πr³
Surface Area Formula 4πr²
Circumference Formula 2Ï€r
Ï€ Value Used 3.14159

Rectangular Prism Calculator

Calculate volume and surface area of a rectangular prism (cuboid) using length, width, and height.

Rectangular Prism Results
0
Volume
0
Surface Area
0
Space Diagonal
0
Lateral Area
Prism Properties
Length N/A
Width N/A
Height N/A
Volume Formula l × w × h
Surface Area Formula 2(lw + lh + wh)
Face Areas N/A

Pyramid Calculator

Calculate volume and surface area of a square pyramid using base side and height.

Pyramid Results
0
Volume
0
Surface Area
0
Base Area
0
Lateral Area
Pyramid Properties
Base Side N/A
Height N/A
Slant Height N/A
Volume Formula (1/3) × base area × height
Surface Area Formula base area + (1/2) × perimeter × slant height
Type Square Pyramid

3D Shapes Comparison

Quick reference for volume and surface area formulas of common 3D shapes.

Shape Volume Formula Surface Area Formula Variables
Cube V = a³ A = 6a² a = side length
Rectangular Prism V = l × w × h A = 2(lw + lh + wh) l = length, w = width, h = height
Sphere V = (4/3)πr³ A = 4πr² r = radius
Cylinder V = πr²h A = 2πr(r + h) r = radius, h = height
Cone V = (1/3)πr²h A = πr(r + √(r² + h²)) r = radius, h = height
Pyramid V = (1/3)Bh A = B + (1/2)Pl B = base area, h = height, P = base perimeter, l = slant height