Pyramid volume and recasting spheres

Pyramid volume and recasting spheres

Secondary 2
TGM Original Questions
  1. A square pyramid of height 18 cm has volume \(864\text{ cm}^3\). Find a base side.
  2. Ten solid spheres of radius 3 cm are melted into a pentagonal pyramid of height 18 cm. Using \(\pi=3.142\), find
    1. the pyramid volume,
    2. the pentagonal base area.

Solution:

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Answer:(a) \(12\) cm; (b)(i) \(1131.12\text{ cm}^3\); (ii) \(188.52\text{ cm}^2\).

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