Answer: She would need 206 paper cups.
Step-by-step explanation: First of all, Monica has a 10-gallon container full of lemonade and this translates into 37850 cubic centimetres volume of lemonade. The conversion rate has been provided as one gallon equals 3785 cubic centimetres, therefore ten gallons would be 3785 times ten which gives you 37,850 cubic centimetres of lemonade.
Each cone shaped paper cup has a diameter measuring 8 centimetres and 11 centimetres in height. The radius of the cone shaped cup therefore is 4 centimetres (radius equals diameter divided by two). The volume of each cup therefore is given as;
Volume of a cone = (πr²h)/3
Volume of a cone = (3.14 * 4² * 11)/3
Volume of a cone = 552.64/3
Volume of a cone = 184.2
If each cone could hold 184 cubic centimetres of lemonade, then the entire ten gallons would require the following number of cone shaped cups;
Number of cups = Total volume/Volume of a cup
Number of cups = 37850/184.2
Number of cups = 205.48
Rounded to the nearest whole number, this becomes
Number of cups ≈ 206
Therefore Monica would need 206 cone shaped paper cups to empty the entire 10 gallons of lemonade.
 
        
             
        
        
        
Answer:
 24000 pieces.      
Step-by-step explanation:
Given:
Side lengths of cube = 
The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft. 
Question asked:
What is the greatest number of packages that can fit in the truck?
Solution:
First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

                           
                                    
Length = 8 foot, Breadth =  , Height =
, Height =

                                                 
The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube
The greatest number of packages that can fit in the truck = 
Thus, the greatest number of packages that can fit in the truck is 24000 pieces.                                
 
        
             
        
        
        
Answer:
i think its c.distributive 
 
        
             
        
        
        
Answer:
Then, the area of the right angle triangle AED is 84in^2.
Step-by-step explanation:
The triangle AED is a right angle triangle 
And the area of a triangle is given as
Area=1/2base ×height
The base is 14in
And the height is 12in
Then,
Area=1/2base ×height
Area = 1/2 ×14 ×12
Area = 84in^2
Then, the area of the right angle triangle AED is 84in^2.