(a)[2]
Show that the cuboid's surface area, $A\text{ cm}^2$, is given by $A = 2x^2 + \frac{240}{x}$.
(b)[2]
Fill in the table for $A = 2x^2 + \frac{240}{x}$.
(c)[3]
On the grid, sketch the graph of $A = 2x^2 + \frac{240}{x}$ for $1 \leq x \leq 8$.
(d)[1]
Find the least possible surface area of the cuboid.
(e)[3]
The cuboid has a surface area of $120\text{ cm}^2$. The height of the cuboid exceeds the length of the edge of its base. Find the dimensions of the cuboid.