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
How do you find the ratio of volumes of similar solids?
Back
The ratio of the volumes of similar solids is equal to the cube of the scale factor of their corresponding side lengths.
4.
FLASHCARD QUESTION
Front
If two similar solids have a scale factor of 2:3, what is the ratio of their volumes?
Back
The ratio of their volumes is (2^3):(3^3) = 8:27.
5.
FLASHCARD QUESTION
Front
What is the relationship between surface area and volume in similar solids?
Back
The ratio of the surface areas of similar solids is equal to the square of the scale factor of their corresponding side lengths.
6.
FLASHCARD QUESTION
Front
If the surface area of a solid is 54 m² and its volume is 648 m³, what is the scale factor of a similar solid with a volume of 8232 m³?
Back
The scale factor is the cube root of (8232/648), which is 2.
7.
FLASHCARD QUESTION
Front
How do you calculate the volume of a similar solid if you know the surface area and volume of the original solid?
Back
Use the ratio of the surface areas to find the scale factor, then cube that scale factor and multiply it by the original volume.
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