What are similar solids?
Similar Solids

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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 similarity ratio?
Back
The similarity ratio is the ratio of the lengths of corresponding sides of two similar solids.
3.
FLASHCARD QUESTION
Front
If two solids are similar with a similarity ratio of 3:10, what does this mean?
Back
It means that for every 3 units of length in the first solid, there are 10 units of length in the second solid.
4.
FLASHCARD QUESTION
Front
How do you find the ratio of the volumes of two similar solids?
Back
The ratio of the volumes of two similar solids is the cube of the ratio of their corresponding linear dimensions.
5.
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.
6.
FLASHCARD QUESTION
Front
What is the formula for the surface area of a sphere?
Back
The surface area (SA) of a sphere is given by the formula SA = 4πr², where r is the radius.
7.
FLASHCARD QUESTION
Front
How do you find the surface area ratio of two similar solids?
Back
The surface area ratio is the square of the similarity ratio of their corresponding linear dimensions.
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