Question

Paulita is going to build a storage cube. Each edge is 14 inches. The wood costs $0.03 per square inch. Use 0.03(5e2)
, where e
is the edge length, to evaluate for e = 14
. (1 point)
Responses

$29.40
$29.40

$4.20
$4.20

$147.00
$147.00

$4.41

Answer 1

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**