Convert 6 cm² to mm² Step by Step | Converting area units

Step by step

The question

Question: change 6 cm² to square millimeters.

1 Change the length

This square is 1 centimeter on each side.

Its area is 1 square centimeter.

1 centimeter is 10 millimeters.

So each side is 10 millimeters long.

1 cm = 10 mm

2 Change the area

So the square holds 10 rows of 10 small squares, each 1 square millimeter.

So 1 square centimeter is 10 millimeters times 10 millimeters.

1 cm² = 10 mm × 10 mm

10 times 10 is 100.

10 × 10 = 100

So 1 cm² = 100 mm².

Not 10: the 10 comes in twice.

1 cm² = 100 mm²

3 Multiply

Each square centimeter is 100 square millimeters.

We have 6 of them, so we multiply: big unit to small unit.

6 cm² = 6 × 100 mm²

Careful!

Times 10 only changes a length.

A square has two sides to change: times 10, and times 10 again.

Careful: not 6 × 10 ✗

Times 100: write 2 zeros after 6.

× 100: the point moves 2 places right

So 6 cm² = 600 mm².

6 cm² = 600 mm²

4 Check

Let's check: go back the other way.

Divide by 100.

600 ÷ 100 = 6

We get 6 square centimeters again.

So it is right!

Let's look back.

First: change the length.

Then: change the area.

Then: multiply.

Last: check.

Answer