The largest number of pyramids she can make from 20 bars can be determined by dividing the total volume of the 20 bars by the volume of a pyramid of chocolate. So that, the largest number of pyramids she can make from 20 bars is 180.
Given that each bar contains 6 [tex]in^{3}[/tex] of chocolate.
The volume of 20 bars of chocolate = 20 x 6
= 120 [tex]in^{3}[/tex]
The volume of 20 bars of chocolate is 120 [tex]in^{3}[/tex].
Given that a pyramid of chocolate has a square base of 1 [tex]in^{2}[/tex] and a height of 2 inches.
Thus,
the volume of a pyramid of chocolate = [tex]\frac{1}{3}[/tex]*base area*height
= [tex]\frac{1}{3}[/tex]* 1 * 2
= [tex]\frac{2}{3}[/tex]
the volume of a pyramid of chocolate is [tex]\frac{2}{3}[/tex] [tex]in^{3}[/tex].
Therefore, the largest number of pyramids she can make from 20 bars would be:
120 ÷ [tex]\frac{2}{3}[/tex]
= 120 x [tex]\frac{3}{2}[/tex]
= 180
The largest number of pyramids she can make from 20 bars is 180.
For more on volume of pyramid, visit: https://brainly.com/question/23432363
