Question

with process plzz.....

Answer 1

Solution:

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Given:

A right pyramid in egypt is 150m high, and has a square base with a side 220m.

h = 150m,.

a = 220m,.

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To Find :

Volume & LSA of square pyramid
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Volume of pyramid = $\frac{1}{3} a^2h$

 => $\frac{1}{3} (150)(220)(220)$

=> (50)(220)(220)

=> (50)(48400)

=> 2420000m³.
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To calculate the Lateral Surface Area of square pyramid

We need to know it's slant height ,.

Slant height = $\sqrt{(height)^2 + ( \frac{side}{2})^2}$
 
=>  $\sqrt{(150)^2 + (110)^2}$

=> $\sqrt{22500 + 12100}$

=> $\sqrt{34600}$ ≈ 186.73 ≈ 186 m

And hence,

LSA = 4 x area of triangular sides,

=> 4 x $\frac{1}{2} bh$

=> 2 x 220 x 186

=> 440 x 186

=> 81840m²

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                                         Hope it Helps !!