Six identical square right prisms, each with a volume of 75 cubic units, have their square-shaped faces painted yellow and are assembled as shown in Figure 1 to form a rectangular prism block. Then one of these pieces is placed on top of another piece with their faces coinciding as shown in Figure 2. The surface area of the solid in Figure 2 is 60 square units greater than the surface area of the solid in Figure 1. According to this, what is the ratio of the short edge length to the long edge length of one of the square right prism pieces? A) $\frac{4}{15}$ B) $\frac{5}{18}$ C) $\frac{3}{20}$ D) $\frac{5}{24}$ E) $\frac{6}{25}$
Six identical square right prisms, each with a volume of 75 cubic units, have their square-shaped faces painted yellow and are assembled as shown in Figure 1 to form a rectangular prism block. Then one of these pieces is placed on top of another piece with their faces coinciding as shown in Figure 2.
The surface area of the solid in Figure 2 is 60 square units greater than the surface area of the solid in Figure 1.
According to this, what is the ratio of the short edge length to the long edge length of one of the square right prism pieces?
A) $\frac{4}{15}$
B) $\frac{5}{18}$
C) $\frac{3}{20}$
D) $\frac{5}{24}$
E) $\frac{6}{25}$