Answer:
1400 cm²
Step-by-step explanation:
The ratio of volumes of similar figures is the cube of the scale factor. Here, that is 3125/675 = sf³. That means the scale factor is ∛(3125/675) = 5/3.
The ratio of areas of similar figures is the square of the scale factor. Here, that is (5/3)² = 25/9.
The area of the larger pyramid is 25/9 times the area of the smaller one:
A = (25/9) × 504 cm² = 1400 cm²
The surface area of pyramid 2 is 1400 cm².
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Additional comment
You don't need to find the scale factor. You can jump directly to the fact that the surface area multiplier is the 2/3 power of the volume ratio.
