The figures below are similar.6 m9 mWhat is the ratio of the surface area of the smaller rectangular prism to the surface area of the larger rectangular prism?Write your answer as the ratio of two whole numbers separated by a colon (for example, 2:3).
Question
The figures below are similar.6 m9 mWhat is the ratio of the surface area of the smaller rectangular prism to the surface area of the larger rectangular prism?Write your answer as the ratio of two whole numbers separated by a colon (for example, 2:3).
Solution
The question seems to be missing some information. Normally, to find the ratio of the surface areas of two similar figures, you would square the ratio of their corresponding sides. However, the question only provides two measurements, 6m and 9m, without specifying which sides these measurements correspond to.
Assuming these are corresponding sides, the ratio of the sides is 6:9, which simplifies to 2:3. To find the ratio of the surface areas, you square this ratio, which gives 4:9.
So, the ratio of the surface area of the smaller rectangular prism to the surface area of the larger rectangular prism is 4:9.
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