How much space is taken up by a rectangular prism with the dimensions: length-3mm; height-5mm; width-7mm

The formula to calculate the volume of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height.

Given:
Length = 3mm
Height = 5mm
Width = 7mm

V = (3)(5)(7) = 105 cubic millimeters

Therefore, the rectangular prism takes up 105 cubic millimeters of space.