Answer:
Volume =  cubic centimeter
 cubic centimeter
Step-by-step explanation:
Let the length of each side of the base of the box  be A and the height of the box be H. 
Area of material required to make the box  is equal to  is 
 
  Rearranging the above equation, we get -  

Volume of box is equal to product of base area of box and the height of the box -  

Substituting the given area we get - 

For maximum volume 



Volume of the box 
= 
=  cubic centimeter
 cubic centimeter
 
        
             
        
        
        
Answer:
x  = -3
Step-by-step explanation:
5 x + 3 = 4 x
Solve for x
5x - 4x + 3 = 0
x + 3 = 0
x = -3
 
        
                    
             
        
        
        
Answer:
83.1219512195
Step-by-step explanation:
Hope this helps!
 
        
                    
             
        
        
        
Answer:
f(x) = - 4x² + 24x - 20
Step-by-step explanation:
Given
f(x) = - 4(x - 3)² + 16 ← expand the factor using FOIL
      = - 4(x² - 6x + 9) + 16 ← distribute parenthesis by - 4
     = - 4x² + 24x - 36 + 16 ← collect like terms
     = - 4x² + 24x - 20