Question

The surface area of a rectangular prism is increased by a factor of 16.

Answer 1

Answer:

$64$

Step-by-step explanation:

It was given that, the surface area of a rectangular prism is increased by a factor of 16.

Let k be the scale factor:

${k}^{2} = 16$

$\implies \: k = \sqrt{16} = 4$

To determine the factor by which the volume of the figure is increased,we cube the scale factor to get:

${k}^{3} = {4}^{3} = 64$

Therefore the volume is increased by a factor of 64