IM Geo.5.7 Practice: The Root of the Problem

[size=150]A solid with volume 8 cubic units is dilated by a scale factor of [math]k[/math] to obtain a solid with volume [math]V[/math] cubic units. Find the value of [math]k[/math] which results in an image with each given volume.[br][br][/size]216 cubic units
1 cubic unit
1,000 cubic units
[size=150]A solid has volume 7 cubic units. The equation [math]k=\sqrt[3]{\frac{V}{7}}[/math] represents the scale factor of [math]k[/math] by which the solid must be dilated to obtain an image with volume [math]V[/math] cubic units. Select [b]all [/b]points which are on the graph representing this equation.[/size]
[size=150]A solid with surface area 8 square units is dilated by a scale factor of [math]k[/math] to obtain a solid with surface area [math]A[/math] square units. Find the value of [math]k[/math] which leads to an image with each given surface area.[br][/size][br]512 square units
[math]\frac{1}{2}[/math] square unit
8 square units
[size=150]It takes [math]\frac{1}{8}[/math] 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. [/size][br][size=150][br]Suppose the dimensions of the box are tripled.[/size][br][list=1][br][/list]How many rolls of wrapping paper will it take to cover all 6 sides of the new box?
What is the volume of the new box?
[size=150]A solid with volume 8 cubic units is dilated by a scale factor of [math]k[/math]. Find the volume of the image for each given value of [math]k[/math].[/size][br][br][math]k=\frac{1}{2}[/math]
[math]k=0.6[/math]
[math]k=1[/math]
[math]k=1.5[/math]
[size=150]A figure has an area of 9 square units. The equation [math]y=\sqrt{\frac{x}{9}}[/math] represents the scale factor of [math]y[/math] by which the solid must be dilated to obtain an image with area of [math]x[/math] square units. [/size][size=150]Select [b]all [/b]points which are on the graph representing this equation.[br][/size]
[size=150]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 [math]\frac{1}{4}[/math]. [/size][br][br]What will be the area of the picture of the flyer in the newspaper?[br]
[size=150]Angle [math]S[/math] is 90 degrees and angle [math]T[/math] is 45 degrees. Side [math]ST[/math] is 3 feet.[/size][size=150] How long is side [math]SU[/math]?[br][/size]
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