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PEAZIT Aha card

A square unit has two dimensions, so the conversion factor appears twice.

A square with a 1 m side has 100 rows of 100 squares, each with an area of 1 cm².

Watch out: A length cannot become an area without more information. Volume involves three dimensions.

Goal, prerequisites and card origin

What you will learn: Derive the conversion from m² to cm².

What you need first: Area of a rectangle and 1 m = 100 cm.

An original PEAZIT working card. Independent expert review and effectiveness testing have not yet taken place. · v1

Show connections

Length, area and volume

Length: one dimension — two perpendicular unit lengths form a — Unit square

Unit square — count squares covering the surface — Area: covering a surface

Length: one dimension — three perpendicular unit lengths form a — Unit cube

Unit cube — count cubes filling the space — Volume: filling space

Area: covering a surface — base area × height for a cuboid — Volume: filling space

A square unit has two dimensions, so the conversion factor appears twice.

Without JavaScript, write your answer elsewhere before opening the solution.How many cm² are in 0.5 m²? Enter only the number.

Solution — open after your own attempt

5 000 cm² 0.5 × 10,000 = 5,000. This is half a square metre.

A question for your next return: How many cm² are in 2 dm²? Enter only the number.

Solution — open after your own attempt

200 cm² 1 dm = 10 cm, so 1 dm² = 100 cm². Two dm² are 200 cm².

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