Answer:
a) 177.9 cubits
b) 466137 squared cubits
Step-by-step explanation:
Given that:
The length of the base (b) = 453 cubits, lateral surface area (a) = 260928, the height of the pyramid (h)
a)
The formula of the lateral surface area is given as:
[tex]a=b\sqrt{b^2+4h^2}[/tex]
Therefore:
[tex]260928=453\sqrt{453^2+4h^2}\\576=\sqrt{453^2+4h^2}\\576^2=453^2+4h^2\\4h^2=576^2-453^2=126567\\h^2=31641.75\\h=\sqrt{31641.75}\\ h=177.9[/tex]
h = 177.9 cubits
b) total surface area = area of base + lateral surface area = b² + lateral surface area
total surface area = 453² + 260928 = 466137 squared cubits
