Geometry: Characteristics of Similar Solids

Verify and identify the characteristics of similar solids in regard to edge lengths, surface area, and volume. #geometry, based on Common Core standard #G-GMD.3, based on TEKS s...

Two prisms are similar. Their edge lengths have a ratio of a/b. Which statement is true?

The surface areas of the prisms are in a ratio of a^3/b^3. The surface areas of the prisms are in a ratio of a^2/b^2.
Two spheres have radii in the ratio of 3:5. What is the ratio of their volumes?

3:5 9:15 9:25 27:125
Are the two prisms shown similar?

Yes No
The ratio of 2 cubes’ edges is 1:2. The smaller volume is 24. What is the volume of the larger?

32 48 96 192
The surface areas of the similar water tanks are in a 16 to 25 ratio. What is x?

22.4 26 28 43.75
… and 5 more awesome questions! Check them out by clicking “Play”.