Volume Explorer

Visualize and calculate volumes through interactive models

Key Concepts

Volume is the amount of space enclosed by a 3D object.
Cube
V = a³
a = edge length
Volume = a³
Cylinder
V = πr²h
r = radius, h = height
Volume = πr²h

Interactive Models

Cube

V = a³

Where:
a = edge length

V: 125 cm³

Cylinder

V = πr²h

Where:
r = radius, h = height

V: 392.7 cm³

Sphere

V = 4/3πr³

Where:
r = radius

V: 0 cm³

Cone

V = 1/3πr²h

Where:
r = radius, h = height

V: 0 cm³

Practice Problems

A cube has edge length 3cm. Calculate its volume.

V = a³ = 3³ = 27 cm³

A cylinder with radius 2cm and height 5cm. Find its volume.

V = πr²h = π×2²×5 = 20π ≈ 62.8 cm³

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