Question

A rectangular prism had a volume of 540 cubic centimeters. the height of this prism was changed from 10 centimeters to 5 centimeters to create a new rectangular prism. the other dimensions stayed the same. which is the volume of this new prism?

Answer 1

The volume of the new rectangular prism would be 270 cubic centimeters.  The reason for this is that when only one dimension is changed, the overall volume is only changed by that same relationship.  Because only the height was cut in half, this would be only one of the dimensions.