Surface area (Edexcel GCSE Maths): Flashcards

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Surface area
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Surface area

Total area of all outer surfaces of a 3D shape

Curved surface area of cone

πrl\pi rl

ll in cone formula πrl\pi rl

Slant height (apex to edge of base)

Total surface area of cone

πr2+πrl\pi r^2 + \pi rl

Finding slant height of cone

Use Pythagoras' theorem

Slant height formula (ll from hh and rr)

l2=h2+r2l^2 = h^2 + r^2

Surface area of sphere

4πr24\pi r^2

Curved surface area of hemisphere

2πr22\pi r^2

Total surface area of hemisphere

3πr23\pi r^2

Compound shapes surface counting

Count external surfaces only, not internal

Parts of cone total surface area

Base area + curved surface area

Sphere formula memory aid

4 times area of great circle (πr2\pi r^2)

Common cone height mistake

Confusing vertical height with slant height

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