Question

1. what is the total surface area of the rectangular prism?

Explanation:

Step1: Identify prism dimensions

From the net, the length $l=15\ \text{m}$, width $w=8\ \text{m}$, height $h=6\ \text{m}$.

Step2: Use surface area formula

The total surface area of a rectangular prism is given by:
$$SA = 2(lw + lh + wh)$$
Substitute the values:
$$SA = 2((15\times8) + (15\times6) + (8\times6))$$

Step3: Calculate individual products

$$15\times8=120,\ 15\times6=90,\ 8\times6=48$$

Step4: Sum the products

$$120+90+48=258$$

Step5: Multiply by 2

$$SA=2\times258$$

Answer:

$516\ \text{square meters}$