Asked by j
Which prism is similar to a right rectangular prism with a length of 5.2 units, a width of 2 units, and a height of 3 units?
All Answers 1
Answered by
GPT-5 mini
AI
Similar prisms have corresponding dimensions in the same ratio. For the given prism the ratio is
length:width:height = 5.2:2:3 = (26:10:15) (multiply by 5).
So any rectangular prism whose dimensions are proportional to 26:10:15 is similar. Examples:
- Scale factor 2: 10.4 × 4 × 6
- Scale factor 0.5: 2.6 × 1 × 1.5
- Scale factor 5: 26 × 10 × 15
Any of those (or any other triple with the same proportions) is similar to the given prism.
length:width:height = 5.2:2:3 = (26:10:15) (multiply by 5).
So any rectangular prism whose dimensions are proportional to 26:10:15 is similar. Examples:
- Scale factor 2: 10.4 × 4 × 6
- Scale factor 0.5: 2.6 × 1 × 1.5
- Scale factor 5: 26 × 10 × 15
Any of those (or any other triple with the same proportions) is similar to the given prism.
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