Question

Paulg is going to build a storage cube each edge 14 inches would cost three cents per square inch where is the length to evaluate?

Answer 1

To determine the cost of building a storage cube with each edge measuring 14 inches, we first need to calculate the surface area of the cube.

A cube has 6 faces, and the area of each face can be calculated using the formula for the area of a square, which is:

\[
\text{Area of one face} = \text{side}^2
\]

For a cube with side length of 14 inches:

\[
\text{Area of one face} = 14 \, \text{inches} \times 14 \, \text{inches} = 196 \, \text{square inches}
\]

Since a cube has 6 identical faces, the total surface area \( A \) is:

\[
A = 6 \times \text{Area of one face} = 6 \times 196 \, \text{square inches} = 1176 \, \text{square inches}
\]

Now that we have the total surface area, we can calculate the cost to build the storage cube. The cost is given as three cents per square inch, so we convert that to dollars:

\[
\text{Cost per square inch} = 0.03 \, \text{dollars}
\]

The total cost \( C \) is then:

\[
C = \text{Total Surface Area} \times \text{Cost per square inch} = 1176 \, \text{square inches} \times 0.03 \, \text{dollars/square inch}
\]

Calculating this gives:

\[
C = 1176 \times 0.03 = 35.28 \, \text{dollars}
\]

So, the total cost to build the storage cube is **$35.28**.