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Is there a bronze ratio if there's a golden ratio?
Yes, there is a bronze ratio: (3 + sqrt(13)) / 2.
How do you find the ratio of two similar 3 dimensional figures when only given the surface area?
Notice the exponents in these two statements.Those little tiny numbers tell the whole big story:(the ratio of the surface areas of similar figures) = (the ratio of their linear dimensions)2(the ratio of the volumes of similar solids) = (the ratio of their linear dimensions)3
Is a 3x5 card a golden rectangle?
A golden rectangle is a rectangle whose side lengths are in the golden ratio, approximately 1:1.618. A 3x5 card has side lengths of 3 inches by 5 inches, which do not match the golden ratio. Therefore, a 3x5 card is not a golden rectangle.
What is the relationship between edge length ratios area ratios and volume ratios of similar figures with various scale factors?
Area ratio = (edge-length ratio)2 Volume ratio = (edge-length ratio)3 Volume ratio = (area ratio)3/2
What are some whole number pairs of side lengths that form rectangles that approximate a golden rectangle?
A golden rectangle is a rectangle whose side lengths are in the golden ratio, approximately 1:1.618. Some whole number pairs of side lengths that approximate a golden rectangle include 1:2, 2:3, 3:5, 5:8, and so on. These pairs get closer to the golden ratio as the numbers increase.
