The surface area of a rectangular prism with edge lengths $a, b$ and $c$ is calculated with the formula $$A = 2(a \cdot b + a \cdot c + b \cdot c)$$ Two identical rectangular prisms are placed in three different ways such that they share one face each. The surface areas of the resulting Figure 1, Figure 2, and Figure 3 are calculated as 18, 20, and 22 square units respectively. Accordingly, what is the surface area of one of the identical prisms in square units? A) 12 B) 13 C) 14 D) 15 E) 16
The surface area of a rectangular prism with edge lengths $a, b$ and $c$ is calculated with the formula
$$A = 2(a \cdot b + a \cdot c + b \cdot c)$$
Two identical rectangular prisms are placed in three different ways such that they share one face each. The surface areas of the resulting Figure 1, Figure 2, and Figure 3 are calculated as 18, 20, and 22 square units respectively.
Accordingly, what is the surface area of one of the identical prisms in square units?
A) 12
B) 13
C) 14
D) 15
E) 16