Question #6438868Single Choice
Geometry
Question

Are these two prisms similar?
Options
A
Yes
B
No
Answer & Analysis
Answer
A
Analysis
Question Analysis
This question involves determining the similarity of two rectangular prisms based on their given side lengths.
The main focus is on comparing the ratios of corresponding side lengths to check if they meet the criteria for similarity.
Key Concept Explanation
For two polyhedrons to be similar, the ratios of all their corresponding linear dimensions (such as lengths, widths, and heights) must be equal.
In the case of rectangular prisms, we need to compare the ratios of the length - to - length, width - to - width, and height - to - height of the two prisms.
Step-by-Step Solution
Calculate the ratio of the lengths of Prism A and Prism B: .
Calculate the ratio of the widths:
This question involves determining the similarity of two rectangular prisms based on their given side lengths.
The main focus is on comparing the ratios of corresponding side lengths to check if they meet the criteria for similarity.
Key Concept Explanation
For two polyhedrons to be similar, the ratios of all their corresponding linear dimensions (such as lengths, widths, and heights) must be equal.
In the case of rectangular prisms, we need to compare the ratios of the length - to - length, width - to - width, and height - to - height of the two prisms.
Step-by-Step Solution
Calculate the ratio of the lengths of Prism A and Prism B: .
Calculate the ratio of the widths:
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.
Practice Now - It's Free!