Calculating a pyramid
This task is about working out the surface area and volume of a pyramid.


An architect designed this modern pyramid building which is 24 metres tall.
It has a square base with each side of the base being 14 metres long.


a) 
Calculate the total area of the four outside faces of the pyramid.
Please show your working.
Total area of the outside faces = __________ m^{2}


b)  i) 
Calculate the volume of the pyramid.
Volume of the pyramid = __________ m^{3}

ii) 
Regulations state that each person in the pyramid needs 8 m^{3 }of airspace.
If the walls take up 48 m^{3}, calculate the greatest number of people allowed inside the pyramid?
