Lighthouse Initiative for Texas Classrooms

Student Worksheet, Middle School Activity 2

In each of the problems below, there are pairs of similar figures. Determine the surface area and volume of each figure. Then determine the ratios (in lowest terms) of the sides, the surface areas, and the volumes for each pair of figures.

Worksheet, Problems 1-3

Worksheet, Problems 4-6



7. What is the relationship between the ratio of the surface areas and the ratio of the sides? Why is this a reasonable result?


8. What is the relationship between the ratio of the volumes and the ratio of the sides? Why is this a reasonable result?

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