Answer:
It would require $5.2 for the whole prism.
Step-by-step explanation:
The total cost required to make the prism will be the cost of the cardboard it requires to be purchased to make the cardboard.
Since it is given that
Length of cardboard = 3 feet
Width of cardboard = 4 feet
Height of cardboard = 2 feet
The total area required will be the sum of areas of the individual faces
1) Area of bottom face = [tex]length\times width\\\\=3\times 4=12feet^{2}[/tex]
2)Area of 4 side faces = [tex]2bh+2lh\\\\=2h(l+b)\\\\=2\times 2\times (4+3)\\\\=28ft^{2}[/tex]
3) Area of top face = [tex]length\times width\\\\=3\times 4=12feet^{2}[/tex]
Thus the total area required is =[tex]12+28+12=52ft^{2}[/tex]
Since it requires $0.10 per square foot hence it will require [tex]0.10\times 52ft^{2}=5.2dollars[/tex]
