Similar Solids

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+4
Standards-aligned
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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 similarity ratio?
Back
The similarity ratio is the ratio of the lengths of corresponding sides of two similar solids.
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
3.
FLASHCARD QUESTION
Front
If two figures are similar with a similarity ratio of 3:10, what does this mean?
Back
It means that for every 3 units of length in one figure, there are 10 units of length in the other figure.
Tags
CCSS.7.G.A.1
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 similar solids?
Back
The ratio of the surface areas of two similar solids is the square of the ratio of their corresponding linear dimensions.
Tags
CCSS.7.G.B.6
7.
FLASHCARD QUESTION
Front
If the surface area of a smaller sphere is 16 ft² and the scale factor is 1:3, what is the surface area of the larger sphere?
Back
The surface area of the larger sphere is 144 ft².
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
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