Apply scale factors to length, area, and volume using k, k^2, and k^3 relationships.
Apply a dilation factor to 1D, 2D, and 3D measures
Problem
For a dilation with \(k=3\), give separate multipliers for corresponding \(\text{one}\text{-}\text{dimensional}\) lengths/perimeters, \(\text{two}\text{-}\text{dimensional}\) areas/surface areas, and \(\text{three}\text{-}\text{dimensional}\) volumes.
The exponent belongs to the dimension of the measure, not to the kind of figure surrounding it. We’ll classify lengths and perimeters as one-dimensional, areas and surface areas as two-dimensional, and volumes as three-dimensional, then apply the corresponding power of the same dilation factor.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
