Nets (Leaving Cert Mathematics): Flashcards

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Nets of Cubes
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What is a net?

A 2D representation of a 3D solid with all faces laid out flat

How many faces does a cube have?

Six identical square faces

What must a cube net consist of?

Six squares arranged to fold into a cube

How many distinct cube net arrangements exist?

11 distinct ways

Surface area formula for a cube

6×(side length)26 \times (\text{side length})^2

Why are nets useful for surface area?

Shows all six faces clearly to calculate total area

Practical applications of cube nets

Packaging design and model making

How do nets improve learning?

Develop spatial reasoning and visualization skills

Surface area of cube with side length 4cm4 \, \text{cm}

96cm296 \, \text{cm}^2

Area of one square face formula

(side length)2(\text{side length})^2

Can a straight line of 6 squares form a cube?

No, cannot fold to enclose space

Examples of valid cube net shapes

Cross-shaped and T-shaped arrangements

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