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Sarah has two regular pyramids with pentagon-shaped bases. the smaller has a scale factor of 2:3 when compared to the larger. She calculates the area

Sarah has two regular pyramids with pentagon-shaped bases. the smaller has a scale factor of 2:3 when compared to the larger. She calculates the area of the base of the pyramid to be 110.11 square units. The height of the pyramid is 12 units. Now she to calculate the volume of the pyramid.

(A) Calculate the volume of the pyramid for Sarah.

(B) "Oh no!" Sarah exclaims. "Now I have to go through all this hard work again to find the volume of the larger pyramid!" Does she? Explain.

(C) Calculate the volume of the larger pyramid for Sarah.

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