Engineering · lesson 23 of 24 · free

Measuring and scale drawings — Engineering for kids

Engineers cannot draw a bridge full size, so they draw it to scale: every length is shrunk by the same amount. On a plan where 1 cm stands for 2 m, a 7 cm wall is 7 × 2 = 14 m long in real life, and a 30 m bridge is drawn 30 ÷ 2 = 15 cm long. Always check the units: 1 m = 100 cm, 1 cm = 10 mm and 1 km = 1000 m.

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Engineer's tip

Multiply to grow, divide to shrink — “real = drawing × scale; drawing = real ÷ scale”

  1. Real length = drawing length × what 1 cm stands for.
  2. Drawing length = real length ÷ what 1 cm stands for.
  3. Units: 1 m = 100 cm · 1 cm = 10 mm · 1 km = 1000 m.

Use it for: Maths lessons on scale and ratio, reading house plans and maps, and drawing project designs.

Worked example: 📐 On a plan, 1 cm stands for 2 m. A wall is 7 cm long on the plan. How long is the real wall, in metres? → 14

  1. Each centimetre on the plan is 2 m in real life.
  2. 7 × 2 m = 14 m.

Check: 14 m ÷ 2 = 7 cm on the plan ✓

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✏️ Practice

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🏁 Lesson 23 test

20 questions. Check each answer, then go to the next one. Get 16 or more right to pass.

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🖨️ Scale Drawing Worksheet

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