Similar Solids
Flashcard
•
Mathematics
•
8th - 10th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What are similar solids?
Back
Similar solids are three-dimensional shapes that have the same shape but different sizes. Their corresponding dimensions are proportional.
2.
FLASHCARD QUESTION
Front
What is the scale factor in similar solids?
Back
The scale factor is the ratio of the lengths of corresponding sides of two similar solids.
Tags
CCSS.7.G.A.1
3.
FLASHCARD QUESTION
Front
If the scale factor of two similar solids is 3:1, what does this mean?
Back
It means that for every 3 units of length in the first solid, there is 1 unit of length in the second solid.
Tags
CCSS.7.G.A.1
4.
FLASHCARD QUESTION
Front
How do you find the ratio of volumes of similar solids?
Back
The ratio of the volumes of similar solids is the cube of the scale factor of their corresponding side lengths.
5.
FLASHCARD QUESTION
Front
If two similar cones have a scale factor of 8/27, what is the ratio of their volumes?
Back
The ratio of their volumes is (8/27)³ = 512/19683.
6.
FLASHCARD QUESTION
Front
What is the relationship between the ratio of the volumes and the ratio of the radii of spheres?
Back
The ratio of the volumes of two spheres is the cube of the ratio of their radii.
7.
FLASHCARD QUESTION
Front
If the volume ratio of two spheres is 8:27, what is the ratio of their radii?
Back
The ratio of their radii is 2:3.
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