The diagram shows an empty container in the form of an open triangular prism. The triangular faces are equilateral with a side of x cm and the length of each rectangular face is y cm. The container is made from thin sheet metal. When full, the container holds 200√3 cm³.

i. Show that A cm², the total area of the thin sheet metal used, is given by

ii. Given that x and y can vary, find the stationary value of A and determine its nature.

Transcribed Image Text:

х ст х ст x cm cm