The question is below

Question

The cross sections shown above are from a rectangular prism. Cross section A is from a plane that is parallel to the base cutting through the prism. Cross section A has an area of 90 units squared. Cross section B is from a plane that is perpendicular to the base and parallel to the sides of the prism cutting through the prism. Cross section B has an area of 50 units squared. Cross section C is from a plane that is perpendicular to the base and parallel to the front of the prism cutting through the prism. Cross section C has an area of 45 units squared. The prism in which the cross sections were taken has a length of units, width of____ units, and a height of ______ units.

Answer 1

a length of 5√2 units, width of_3√10_ units, and a height of _3√5_ units.