The surface area of a rectangular prism is increased by a factor of 16. By what factor is the volume of the figure increased?

Answer:The factor of the volume of the figure increased is 64Step-by-step explanation:we know that If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared and the ratio of its volumes is equal to the scale factor elevated to the cubestep 1Find the scale factorLetz ----> the scale factorz²=16z=4 -----> scale factorsoz³=4³=64The factor of the volume of the figure increased is 64