Similar solids

In this lesson, we will learn:

• Identify Similar Solids
• Proof of the Relationships Between Scale Factor, Area Ratio and Volume Ratio
• Given the Scale Factors, Find a Surface Area
• Given the Volumes, Find the Scale Factors
• Scale Factors Doubled, Find a Volume

• Solid: A three-dimensional object
• Two solids are similar when the ratios of their corresponding measures are constant.
• Scale factor:
  • The ratios of the corresponding measures of two objects.
  • A numeric multiplier used for scaling.
• If two similar solids have a scale factor of $\frac{a}{b}$, then
  1. They have a surface area ratio of $(\frac{a}{b})^{2}$.
  2. They have a volume ratio of $(\frac{a}{b})^{3}$.