he volume of a square pyramid is 288 in^3in 3 and the square base has a perimeter of 48 inches, find the height of the pyramid.

Perimeter = 4s

s = P/4

s = 48 in/4

s = 12 in

V = a^2h/3

h = 3V/a^2

h = 3(288 in^3)/ (12 in)^2

h = 864 in^3 / 144 in^2

h = 6 inches

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.