Surface Area & Volume of Solids
Explore 3D Shapes and Their Nets
Visualize different 3D shapes, their nets, and understand how to calculate their surface area and volume. Switch between solid view and net view to see the relationship between 2D nets and 3D shapes.
Cube
Side: 5 units
Surface Area: 150 units²
Volume: 125 units³
Volume: 125 units³
Current Shape:
A cube has 6 square faces. All edges are equal in length. Surface area = 6 × (side length)². Volume = (side length)³.
The Mathematics of 3D Shapes
Key Concepts:
Surface Area is the total area of all the surfaces of a 3D shape.
Volume is the space occupied by a 3D shape.
Net is a 2D shape that can be folded to make a 3D shape.
Formulas:
- Cube: SA = 6a², V = a³ (a = side length)
- Cylinder: SA = 2πr² + 2πrh, V = πr²h (r = radius, h = height)
- Sphere: SA = 4πr², V = (4/3)πr³ (r = radius)
