A solid with a surface area of 8 square units is dilated by a scale factor of \(k\) to obtain a solid with a surface area of \(A\) square units. Find the value of \(k\) that leads to a solid with each given surface area.

1. 512 square units
2. \(\frac{1}{2}\) square unit
3. 8 square units

It takes \(\frac{1}{20}\) of a roll of wrapping paper to completely cover all 6 sides of a small box that is shaped like a rectangular prism. The box has a volume of 10 cubic inches. Suppose the dimensions of the box are doubled.

1. How many rolls of wrapping paper will it take to cover all 6 sides of the new box?
2. What is the volume of the new box?

A solid with a volume of 8 cubic units is dilated by a scale factor of \(k\). Find the volume of the solid for each given value of \(k\).

1. \(k=\frac{1}{2}\)
2. \(k=0.6\)
3. \(k=1\)
4. \(k=1.5\)

A figure has an area of 9 square units. The equation \(y=\sqrt{\frac{x}{9}}\) represents the scale factor of \(y\) by which the solid must be dilated to obtain an image with area of \(x\) square units. Select all points that are on the graph representing this equation.

Noah edits the school newspaper. He is planning to print a photograph of a flyer for the upcoming school play. The original flyer has an area of 576 square inches. The picture Noah prints will be a dilation of the flyer using a scale factor of \(\frac14\). What will be the area of the picture of the flyer in the newspaper?