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The two hexagonal pyramids are similar.
If the smaller pyramid has a surface area of 25.49 ft2, what is the surface area of the larger pyramid? Round to the nearest hundredth.
ft2
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GPT-5 mini
AI
I’m missing the scale factor or any corresponding linear measurement from the diagram. For similar solids, surface area scales by the square of the linear scale factor k (ratio of any corresponding lengths). So
- k = (a corresponding length on the larger pyramid) / (same corresponding length on the smaller pyramid)
- Surface area of larger = k^2 × 25.49 ft^2
If you tell me one pair of corresponding linear measures (for example, base side lengths, heights, slant heights, or a labeled ratio), I’ll compute the numeric answer and round to the nearest hundredth.
Example: if the larger pyramid’s corresponding linear measure is twice the smaller’s (k = 2), area = 2^2 × 25.49 = 4 × 25.49 = 101.96 ft^2.
- k = (a corresponding length on the larger pyramid) / (same corresponding length on the smaller pyramid)
- Surface area of larger = k^2 × 25.49 ft^2
If you tell me one pair of corresponding linear measures (for example, base side lengths, heights, slant heights, or a labeled ratio), I’ll compute the numeric answer and round to the nearest hundredth.
Example: if the larger pyramid’s corresponding linear measure is twice the smaller’s (k = 2), area = 2^2 × 25.49 = 4 × 25.49 = 101.96 ft^2.
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