The total surface area of a rectangular prism with edge lengths $a$, $b$ and $c$ is $$\mathrm{A} = 2(\mathrm{a} \cdot \mathrm{b} + \mathrm{a} \cdot \mathrm{c} + \mathrm{b} \cdot \mathrm{c})$$ calculated with the formula. Hakan glues together five identical wooden blocks in the shape of a rectangular prism with edge lengths 2 units, 2 units, and 4 units as shown in the figure to create the letter H. Accordingly, what is the surface area of the resulting shape in square units? A) 160 B) 168 C) 176 D) 184 E) 192
The total surface area of a rectangular prism with edge lengths $a$, $b$ and $c$ is
$$\mathrm{A} = 2(\mathrm{a} \cdot \mathrm{b} + \mathrm{a} \cdot \mathrm{c} + \mathrm{b} \cdot \mathrm{c})$$
calculated with the formula.
Hakan glues together five identical wooden blocks in the shape of a rectangular prism with edge lengths 2 units, 2 units, and 4 units as shown in the figure to create the letter H.
Accordingly, what is the surface area of the resulting shape in square units?
A) 160
B) 168
C) 176
D) 184
E) 192