Question 1198262
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The volume of a square pyramid whose slant height and base edge are each 10 ft long 
may be expressed as V = γ√ρ/ρ ft.^2 where ρ is a prime number. Find γ - ρ.
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<pre>
The base area is 10*10 = 100 ft^2.


The height of the pyramid is  {{{sqrt(10^2-(10/2)^2)}}} = {{{sqrt(100-25)}}} = {{{sqrt(75)}}} = {{{5*sqrt(3)}}}.


The volume of the pyramid is  {{{(1/3)*5*sqrt(3)}}} = {{{5*(sqrt(3)/3)}}} ft^3.


So we have γ = 5, ρ = 3.  Therefore,  γ - ρ = 5 - 3 = 2.    <U>ANSWER</U>
</pre>

Solved.