The figures below are similar.2 m6 mS1 = 16 m2 S2 = ?What is the surface area of the larger rectangular prism?
Question
The figures below are similar.
2 m
6 m
S1 = 16 m²
S2 = ?
What is the surface area of the larger rectangular prism?
Solution
The problem is asking for the surface area of the larger rectangular prism. The figures are similar, which means their sides are proportional.
Step 1: Find the ratio of the sides. The ratio is 6m/2m = 3.
Step 2: The ratio of the areas of similar figures is the square of the ratio of their corresponding sides. So, the ratio of the areas is 3^2 = 9.
Step 3: Multiply the surface area of the smaller figure by the ratio of the areas to find the surface area of the larger figure. So, S2 = S1 * 9 = 16m^2 * 9 = 144m^2.
So, the surface area of the larger rectangular prism is 144 square meters.
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