To analyze the relationship between the surface areas and dimensions of prisms A and B, we can start with the formula for the surface area of a rectangular prism:
\[ SA = 2(lw + lh + wh) \]
where \( l \), \( w \), and \( h \) are the length, width, and height of the prism.
Given that prism A has a surface area of 25 square units and prism B has a surface area of 100 square units, we can see that:
- Surface area of prism B is 4 times that of prism A (100 / 25 = 4).
However, surface area increases with the square of the scaling factor of the dimensions. Therefore, if the surface area is multiplied by a factor of 4, the dimensions must be multiplied by the square root of that factor:
\[ \text{Scaling factor for dimensions} = \sqrt{4} = 2. \]
This means that if the surface area of prism B is 4 times that of prism A, the dimensions of prism B must be twice as large as the dimensions of prism A.
Based on this analysis, the correct statement would be:
"Since prism B's surface area is 4 times as large as prism A's surface area, prism B's dimensions are twice as large as prism A's."
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