Math help pelase?

Question

A rectangular prism has a volume of 37.1 cm³. For this volume determine the dimensions of the prism with minimum surface area.

Anything is much appreciated, thank you!!

Answer 1

Make it a cube. Length, width, and height are each cbrt(37.1 cm^3) which is around 3.335221152861612935327329519331 cm

Answer 2

Most efficient arrangement is cubic, so the dimensions are 3.335 cm x 3.335 cm x 3.335 cm.  You can probably find a proof in various books (that the cube has the minimum surface area).