Can someone help with this problem?

[Kahu]

A regular octahedral crystal is forming naturally, retaining its octahedral shape as it grows.
If the sides of the crystal are increasing at a constant rate of 0.25cm/min, find the rate at which its
surface area is increasing when its volume is 9√2 cm^3.

 

[JeffM]

We basically provide help rather than answers. Obviously, the formulas for the surface area and volume of a regular octahedron are likely to be useful. Did you look them up? What are they?

Given the formula for the surface area, how would you find the rate of change of the surface area?

 

[Deleted member 4993]

A regular octahedral crystal is forming naturally, retaining its octahedral shape as it grows.
If the sides of the crystal are increasing at a constant rate of 0.25cm/min, find the rate at which its
surface area is increasing when its volume is 9√2 cm^3.

Do you know what does an octahedra look like?

If one side (edge) of the octahedra is 'x' - what would be the volume? What would be the surface area?