To evaluate the cost of building the storage cube, we first need to calculate the surface area and then use the given formula.
The formula to calculate the surface area \( A \) of a cube is:
\[ A = 6e^2 \]
where \( e \) is the edge length of the cube.
Given \( e = 14 \) inches, we can substitute this value into the formula:
\[ A = 6(14^2) \]
Calculating \( 14^2 \):
\[ 14^2 = 196 \]
Now, substituting back into the area formula:
\[ A = 6 \times 196 = 1176 \text{ square inches} \]
Now, to find the cost using the given cost formula \( 0.03(5e^2) \):
First, we calculate \( 5e^2 \):
\[ 5e^2 = 5(14^2) = 5 \times 196 = 980 \]
Now, substitute this value into the cost formula:
\[ \text{Cost} = 0.03 \times 980 \]
Calculating the cost:
\[ \text{Cost} = 29.40 \]
Thus, the correct answer is:
B. 29.40