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the area and volume of the Pyramid of Gaza are 139, 840 m²
and 52950 m³ respectively.
The formula for volume and area of a square pyramid are given thus;
Volume, V= [tex]a^2\frac{h}{3}[/tex]
Area , [tex]A=a^2+2a \sqrt{\frac{a^2}{4}+ h^2 }[/tex]
Where
Substitute the values;
Area = [tex]230^2 + 2(230) \sqrt{\frac{230^2}{4}+ 150^2 }[/tex]
Area = [tex]52900 + 460 + \sqrt{13225 + 22500}[/tex]
Area = [tex]52900 + 460(189)[/tex]
Area = 52900 + 86, 940
Area = 139, 840 m²
Volume , v = [tex]230^2 + \frac{150}{3}[/tex]
Volume = 52900 + 50
Volume = 52950 m³
Thus, the area and volume of the Pyramid of Gaza are 139, 840 m²
and 52950 m³ respectively.
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