At the bank, sheila made 6 deposits, each in the same amount. her sister sherri made 5 deposits, each in the same amount. each of sherri's deposits was $10 more than each deposit sheila made. both sisters deposited the same amount in the end. how much did each sister deposit each time? (a) write an equation. let x represent the amount of one of sheila’s deposits. (b) solve the equation. show your work. (c) check your solution. show your work. (d) state the solution in complete sentences.

The correct answer is:  [A]:  " 384 in² " .


Explanation:

The formula for the surface area of a cube is:


             →   A   =   6a²  ;
             →   in which:  

                            A  =  surface area of the cube— for which we shall solve ; 
                                               (in "square units" ; or, " in² " ; in our case) ; 

                            a = side length = " 8 in " (given); 
    
   →  Note:  A cube has all equal side lengths.

   →  The "6" in the formula accounts for "6 sides" of a cube.



→  To solve for the surface area of the cube; plug in our known value(s);
                &  solve;  as follows:

                          →  A  =  6 a²  ;

                                    =  6 * (8 in)²  ;

                                    =  6 * 8² * in² ;

                                    =  6 * 8 * 8 * in² ; 

                                    =  48 * 8 * in² ; 

                                    =  384  in²  ;

The answer is:  " 384 in² " ;  

→  which is:  Answer choice:  [A]:  " 384 in² " .