Question

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1. a campsite provides a locking, rectangular box with the dimensions shown below to secure food from bears. 3 feet 2 feet 5 feet what is the surface area of the box?

Explanation:

Step1: Recall surface - area formula for rectangular prism

The formula for the surface area $S$ of a rectangular prism with length $l$, width $w$, and height $h$ is $S = 2(lw+lh + wh)$.

Step2: Identify the dimensions

Here, $l = 5$ feet, $w = 2$ feet, and $h = 3$ feet.

Step3: Substitute values into the formula

$S=2((5\times2)+(5\times3)+(2\times3))$.
First, calculate the products inside the parentheses: $5\times2 = 10$, $5\times3=15$, and $2\times3 = 6$.
Then, $S = 2(10 + 15+6)$.
Next, add the numbers inside the parentheses: $10+15 + 6=31$.
Finally, $S = 2\times31=62$ square - feet.

Answer:

62 square feet