SOLUTION: I need help with this problem please: The volume of a rectangular solid is {{{100cm^3}}}. If the length L and width W of the solid are equal, express the surface area of the soli

Algebra ->  Finance -> SOLUTION: I need help with this problem please: The volume of a rectangular solid is {{{100cm^3}}}. If the length L and width W of the solid are equal, express the surface area of the soli      Log On


   



Question 1009239: I need help with this problem please:
The volume of a rectangular solid is 100cm%5E3. If the length L and width W of the solid are equal, express the surface area of the solid in terms of L.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If +L+=+W+, I can say the base of the
solid is +L%5E2+ in cm2
Let +H+ = the height of the solid in cm
---------------
+H%2AL%5E2+=+100+ cm3
+H+=+100%2FL%5E2+
-------------------
Top and bottom area of solid:
Area = +2%2AL%5E2+
-------------
The 4 sides of the solid:
Area = +4%2AL%2A%28+100%2FL%5E2+%29+
Area = +400%2FL+
-------------------
Total surface area:
+2L%5E2+%2B+400%2FL+