A triangular prism has an equilateral base with each side of the triangle measuring 8 point 4 centimeters. The height of the prism is 10 point 2 centimeters. Which triangular prism is similar to the described prism?
Answer
A
Image with description An equilateral triangular prism with base edge lengths 9.4 centimeters and height 11.2 centimeters.
B
Image with description An equilateral triangular prism with base edge lengths 16.8 centimeters and height 20.4 centimeters.
C
Image with description An equilateral triangular prism with base edge lengths 10.2 centimeters and height 8.4 centimeters.
D
Image with description An equilateral triangular prism with base edge lengths 2.8 centimeters and height 5.1 centimeters.
Explanation
Similar prisms have matching dimensions in the same ratio. Choice A doubles both measurements: 8.4 × 2 = 16.8 centimeters and 10.2 × 2 = 20.4 centimeters. The other choices do not scale both dimensions by the same factor, so choice A is the similar prism.
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