A cuboid has width $2x\,$ cm, height $x\,$ cm and depth $y\,$ cm.

The volume of the cuboid is 600 cm $^3$ , and its surface area is $S\,$ cm $^2$ .

Show that $4x^2 + \dfrac{1800}{x}$ .

Determine the value of $x\,$ for which the surface area of the cuboid is a minimum, giving your answer to 3 significant figures.

Find, to the nearest integer, the minimum value of $S$ .

A cuboid has width $2x\,$ cm, height $x\,$ cm and depth $y\,$ cm.

The volume of the cuboid is 600 cm $^3$ , and its surface area is $S\,$ cm $^2$ .

Show that $4x^2 + \dfrac{1800}{x}$ .

Determine the value of $x\,$ for which the surface area of the cuboid is a minimum, giving your answer to 3 significant figures.

Find, to the nearest integer, the minimum value of $S$ .

1 Pure Mathematics

1 Pure Mathematics Questions