SOLUTION: a rectangular box has a volume of 100 cubic units. if the base has a length four units longer than its width and X is the width write an expression for the surface area.

Click here to see ALL problems on Volume

Question 1147993: a rectangular box has a volume of 100 cubic units. if the base has a length four units longer than its width and X is the width write an expression for the surface area.

Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
a rectangular box has a volume of 100 cubic units. if the base has a length four units longer than its width and X is the width write an expression for the surface area.
==========
Vol = W*L*H = 100
Vol = X*(X+4)*H = 100
H = 100/(X^2 + 4X)
----------
SA = 2*(X*(X+4) + X*H + H*(X+4))
====================
You can sub for H.

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = the height

-------------------------------
The surface area for top and bottom is:

The area for the front and the back is:

The area for the sides is:

----------------------------

---------------------------
One way to check this is to pick a value for

-------------------------

and

and

------------------------------

OK
check the math