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Net of a cube side 3

Step by step, with the reason for every step · Nets and surface area · Geometry

Step by step

The question

Question: draw the net of a cube, side 3, and find its surface area.

cube, side 3

The surface area is the area of all the outside faces together.

A net shows every face flat.

surface area = all the faces added

1 Unfold it

We cut along some edges and fold it flat.

Matching faces have the same colour.

2 Area of each face

Top and bottom: 3 × 3 is 9.

= top and bottom: 3 × 3 = 9

Front and back: 3 × 3 is 9.

= front and back: 3 × 3 = 9

The two sides: 3 × 3 is 9.

= the two sides: 3 × 3 = 9

Careful!

Count every face in the net.

A box has 6 faces, not 3.

Careful: not 9 + 9 + 9 = 27 ✗

3 Add them all

We add all 6 faces: 54.

= SA = 9 + 9 + 9 + 9 + 9 + 9 = 54

4 Check

Let's check another way.

All 6 faces of a cube are the same square: 6 times 9 is 54.

So the answer is right!

6 × 3 × 3 = 6 × 9 = 54

Let's look back.

First: unfold it.

Then: area of each face.

Then: add them all.

Last: check.

Answer
= SA = 9 + 9 + 9 + 9 + 9 + 9 = 54

Your turn

Try this one yourself, then check:

cube, side 2
Show the answer
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