Two- and Three-Dimensional Figures

Virginia SOL G.DF.2

Determine the effect of changing dimensions on three-dimensional figures and describe relationships between original and changed figures.

What students need to be able to do

  • Describe how changes in one or more dimensions of a figure affect other derived measures (perimeter, area, total surface area, and volume) of the figure.
  • Describe how changes in surface area and/or volume of a figure affect the measures of one or more dimensions of the figure.
  • Solve problems, including those in context, involving changing the dimensions or derived measures of a three-dimensional figure.
  • Compare ratios between side lengths, perimeters, areas, and volumes of similar figures.
  • Recognize when two- and three-dimensional figures are similar and solve problems, including those in context, involving attributes of similar geometric figures.