Similar Solids

Flashcard
•
Mathematics
•
9th - 10th Grade
•
Hard
+1
Standards-aligned
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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
How do you find the ratio of volumes of similar solids?
Back
To find the ratio of volumes, cube the ratio of their corresponding side lengths.
4.
FLASHCARD QUESTION
Front
If the ratio of side lengths is 2:3, what is the ratio of their volumes?
Back
The ratio of their volumes is 2^3:3^3, which simplifies to 8:27.
5.
FLASHCARD QUESTION
Front
What is the relationship between the ratio of areas and the ratio of side lengths?
Back
The ratio of areas of similar figures is the square of the ratio of their corresponding side lengths.
6.
FLASHCARD QUESTION
Front
If the ratio of areas of two similar rectangles is 1:4, what is the ratio of their corresponding sides?
Back
The ratio of their corresponding sides is 1:2.
7.
FLASHCARD QUESTION
Front
What is the formula for the volume of a sphere?
Back
The volume of a sphere is given by the formula V = (4/3)πr³, where r is the radius.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
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