To find the cost of building the storage cube, we first need to determine the surface area of the cube.
The formula for the surface area \( A \) of a cube is given by: \[ A = 6e^2 \] where \( e \) is the length of an edge.
Given that \( e = 14 \) inches, we can calculate the surface area:
\[ A = 6(14^2) = 6(196) = 1176 \text{ square inches} \]
Next, we need to find the total cost of the wood. The cost per square inch is $0.03, so we multiply the surface area by the cost per square inch:
\[ \text{Cost} = 0.03 \times 1176 \]
Now, let's compute this:
\[ \text{Cost} = 0.03 \times 1176 = 35.28 \]
It seems I've made a mistake with the provided expression \( 0.03(5e^2) \). Let's evaluate this instead.
Substituting \( e = 14 \):
\[ 0.03(5(14^2)) = 0.03(5(196)) = 0.03 \times 980 = 29.40 \]
Therefore, the total cost of the wood is $29.40. The correct response is:
$29.40