Question 1089033
You are designing candle-making kits. Each kits contain 25 cubic inches of candle wax and a mold for making a pyramid-shaped candle wiht a square base.
You want the height of the candle to be 2 inches less than the edge of the base.
 What should the dimension of the candle mold be? show a mathematical procedure in determining the dimension
:
let s = the side of the base
then
(s-2) = the height of the pyramid 
:
Vol of pyramid = {{{1/3}}} * base area * height
V = 25, therefore 
{{{1/3}}}*s^2*(s-2) = 25
multiply both sides by 3, get rid of the fraction
s^2*(s-2) = 75
s^3 - 2s^2 = 75
s^3 - 2s^2 - 75 = 0
Graph this equation
{{{ graph( 300, 200, -6, 10, -100, 200, x^3-2x^2-75) }}}
solution is s = 5
:
See if that checks out
{{{1/3}}}*{{{5^2*3}}} = 25