Question

1. geometry connection - surface area

include units in answer.
use the formula to find the surface area of a shoe box with the following dimensions:
$l = 12 inches$, $w = 10 inches$, $h = 6 inches$
$surface area = 2(lw + lh + wh)$

Explanation:

Step1: Substitute the values into the formula

Given \( L = 12\), \( w = 10\), \( h = 6\), substitute into \(SA=2(Lw + Lh+wh)\)
\(SA = 2(12\times10+12\times6 + 10\times6)\)

Step2: Calculate the products inside the parentheses

\(12\times10=120\), \(12\times6 = 72\), \(10\times6=60\)
\(SA=2(120 + 72+60)\)

Step3: Calculate the sum inside the parentheses

\(120+72 + 60=252\)
\(SA=2\times252\)

Step4: Calculate the final product

\(SA = 504\)

Answer:

\(504\) square inches