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Free summary · Grade 7 Maths

Surface area

The area of all the faces of a prism or cube. Read one part at a time and tap “I know this”. Then test yourself in the quiz.

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Surface area

Surface area is the total area of all the faces of a 3D object. Think of the net: unfold the object.

  • Cube: 6 equal squares → SA = 6 × s².
  • Rectangular prism: 3 pairs of rectangles → SA = 2(lb + lh + bh).
Rule

Cube with s = 3 cm: 6 × 3 × 3 = 54 cm².

Rectangular prism of 4 cm × 3 cm × 2 cm: SA = 2(4 × 3 + 4 × 2 + 3 × 2) = 2(12 + 8 + 6) = 2 × 26 = 52 cm².

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Remember this and test yourself

Remember this: your summary
  • Surface area = sum of all faces.
  • Cube: 6 × s².
  • Prism: 2(lb + lh + bh).
  • Units are square: cm².

Write these points in your book. Read them again the night before the test.

Memory trick

Wrapping paper: surface area is how much paper you need.

Flash cards · Tap to turn over

Important words

First say the answer yourself, then turn the card over.

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