SOLUTION: The view of rectangular box at the right shows three faces of the box. The areas of two of the faces are 30 cm squared and 48 cm squared. The volume of the box is 240 cm cubed. Wh

Question 143465: The view of rectangular box at the right shows three faces of the box. The areas of two of the faces are 30 cm squared and 48 cm squared. The volume of the box is 240 cm cubed. What is the area of the third face?
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
You are given three pieces of information.
Label the axis on the box w, d and h (for width, depth and height).
Now setup equations for what you 'know'

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Combining the previous two equations yeilds

Now plug in the values for d and h into the Volume equation.

Reduce to get

Substitute w=5 back into the earlier equations to get
= 6
= = 8
That's a pretty small box

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