Question

the net below is used to form a rectangular prism. find the surface area of the rectangular prism it forms. draw 10 in 3 in 6 in 3 in 6 in

Explanation:

Step1: Recall the surface area formula

The surface area formula of a rectangular prism is $S = 2(ab+bc + ac)$, where $a$, $b$, and $c$ are the length, width, and height of the prism. Here, $a = 10$ in, $b = 6$ in, $c = 3$ in.

Step2: Calculate each product

Calculate $ab$: $ab=10\times6 = 60$.
Calculate $bc$: $bc = 6\times3=18$.
Calculate $ac$: $ac=10\times3 = 30$.

Step3: Substitute into the formula

Substitute into $S = 2(ab + bc+ac)$: $S=2(60 + 18+30)$.
First, calculate the sum inside the parentheses: $60+18 + 30=108$.
Then, multiply by 2: $S=2\times108=216$.

Answer:

$216\ \text{in}^2$