Exposed surface area

Exposed surface area

Secondary 2
3 marks
TGM Original Questions

A square pyramid has base side 8 cm and each triangular face has slant height 5 cm. Find the total exposed surface area, using \(\pi=3.142\) where needed. Give decimal answers to 2 d.p.[3]

Solution:

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Answer:Base area \(=8^2=64\text{ cm}^2\). Four triangular faces have area \(4\left(\dfrac12\right)(8)(5)=80\text{ cm}^2\). Total area \(=64+80=144\text{ cm}^2\).

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