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1. polyhedrons p and q, shown below, both have a volume of 6 cubic unit…

Question

  1. polyhedrons p and q, shown below, both have a volume of 6 cubic units. how do their surface areas compare? a. ps surface area is less than qs surface area. b. ps surface area is equal to qs surface area. c. ps surface area is greater than qs surface area. d. there is not enough information given to compare their surface areas.

Explanation:

Step1: Analyze surface - area concept

Surface area of a polyhedron depends on the number and size of its faces. Just knowing the volume is not sufficient.

Step2: Consider given information

We are only given that the volumes of polyhedrons P and Q are equal (6 cubic units), but no information about the dimensions of their faces.

Answer:

D. There is not enough information given to compare their surface areas.