How do i solve this:
A rectangular block of metal with a square cross-section has a total surface area of 625cm2. Find the maximum volume of the block of metal?
Help!!
Let the rectangular block have dimensions x, x and y. (2 x's because the cross section is a square).
So the surface area is given be (each end face) (each length face).
Now,
Volume = 'area of cross section' times 'length' = .
(for max)
Once you have calculated this value, substitute into the equation for y. Use the Volume = formula to find the max volume.