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Maths Learn & Test Study Notes

3D Shapes and Nets

📖Definition

There are a number of 3D shapes that you need to be familiar with.

Diagram

11P 3D shapes tab
In addition you need to know how to work out the volume of a Cuboid.
Volume is Length x Width x Height Volume = lhw
A Cube is a special case of a cuboid where Length = Width = Height

Nets

A Net is a 2 dimensional shape that can be folded to create a 3 dimensional shape. There are 4 basic nets that you should know.

Diagram

cube net def

Diagram

cuboid net def

Diagram

square based pyramid net def

Diagram

triangular prism net def

💡Tips/hints

Remember the Surface Area of Net = Surface Area of Solid

✏️Example

A cuboid has two sides that are 3cm and 5cm and its volume is 120cm³ Calculate its height.

Solution

Volume = Length x Width x Height So, 120 = 5 x 3 x h That makes h = 8cm