Surface Area of Pyramids and Cones (HSC SSCE Mathematics Standard): Flashcards

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Surface Area of Pyramids and Cones
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Slant height of pyramid

Distance from apex to base edge along triangular face

Slant height vs perpendicular height

Different measurements; cannot be used interchangeably

Surface area formula for square pyramid

SA=s2+4×(12sl)SA = s^2 + 4 \times \left(\frac{1}{2}sl\right)

Surface area formula for cone

SA=πr2+πrlSA = \pi r^2 + \pi rl

ss in square pyramid formula

Side length of the square base

ll in surface area formulas

Slant height

Two terms in cone surface area formula

πr2\pi r^2 (base) and πrl\pi rl (curved surface)

Pythagoras formula for slant height

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

When to use Pythagoras for slant height

When given hh and rr but not ll

Units for surface area

Square units (cm², m², etc.)

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