The surface area \( S \) of a rectangular prism is given by the formula:
\[ S = 2(lw + lh + wh) \]
where \( l \), \( w \), and \( h \) are the dimensions (length, width, and height) of the prism.
If the surface area of prism \( A \) is \( 25 \) square units and the surface area of prism \( B \) is \( 100 \) square units, we can see that:
\[ \frac{S_B}{S_A} = \frac{100}{25} = 4 \]
This means prism \( B \) has a surface area that is \( 4 \) times larger than that of prism \( A \).
However, surface area scales with the square of the linear dimensions. If the dimensions of prism \( A \) are changed by a factor \( k \), then the surface area will change by a factor of \( k^2 \). Therefore:
\[ k^2 = 4 \implies k = 2 \]
This means the dimensions of prism \( B \) are \( 2 \) times as large as the dimensions of prism \( A \).
Thus, the correct statement is:
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.