Mathematics Problems for 12 - 16 year olds (page 2)

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Problem 5a.
An Egyptian wants to build a pyramid in his back garden to bury his favourite cat.

His garden is meters wide and meters long.

He has goats which each need square metres of land to graze on

and camels which each need square meters of land to garze on.

If his pyramid has a square base what is the maximum length of one side of the pyramid?

Problem 5b
What will the surface area of the pyramid be if the angle of elevation is degrees and the pyramid is smooth (ignore the base of the pyramid as that is on the ground!)?
Give the answer as a whole number.

Problem 5c.
The Egyptian wants to paint the pyramid black (his cat was black)
and a barrel of tar covers square metres how many barrels of tar will he need to buy (unfortunately the market only sells full barrels)?