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

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Surface Area of Pyramids and Cones
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What is the slant height of a pyramid?

Distance from apex to base edge on face

What is the surface area formula for a square pyramid with base side ss and slant height ll?

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

A square pyramid has base side 66 cm and slant height 44 cm. What is its surface area?

8484 cm²

In the cone surface area formula SA=πr2+πrlSA = \pi r^2 + \pi rl, what does πrl\pi rl represent?

The curved surface area

What is the complete surface area formula for a cone?

SA=πr2+πrlSA = \pi r^2 + \pi rl

When finding cone surface area, when should you use Pythagoras' theorem?

When given hh and rr but not ll

A cone has radius 66 cm and perpendicular height 14.414.4 cm. What is the slant height?

15.615.6 cm

A cone has r=6r = 6 cm and l=15.6l = 15.6 cm. What is its surface area (nearest cm²)?

407407 cm²

What units must surface area answers be expressed in?

Square units (cm², m², etc.)

How many faces does a square pyramid have in total?

Five faces

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