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IM Geo.5.7 Practice: The Root of the Problem

A solid with volume 8 cubic units is dilated by a scale factor of to obtain a solid with volume cubic units. Find the value of  which results in an image with each given volume. 216 cubic units

1 cubic unit

1,000 cubic units

A solid has volume 7 cubic units. The equation  represents the scale factor of  by which the solid must be dilated to obtain an image with volume  cubic units. Select all points which are on the graph representing this equation.

Select all that apply
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Check my answer (3)

A solid with surface area 8 square units is dilated by a scale factor of to obtain a solid with surface area square units. Find the value of  which leads to an image with each given surface area. 512 square units

square unit

8 square units

It takes  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 tripled.

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?

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

A figure has an area of 9 square units. The equation  represents the scale factor of  by which the solid must be dilated to obtain an image with area of  square units. Select all points which are on the graph representing this equation.

Select all that apply
  • A
  • B
  • C
  • D
  • E
  • F
  • G
  • H
Check my answer (3)

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 . What will be the area of the picture of the flyer in the newspaper?

Angle  is 90 degrees and angle  is 45 degrees. Side  is 3 feet. How long is side ?