Question

find the surface area of the rectangular prism.
8 mi
5 mi
6 mi

Explanation:

Step1: Recall surface area formula

The surface area \(SA\) of a rectangular prism is given by:
$$SA = 2(lw + lh + wh)$$
where \(l=6\) mi, \(w=5\) mi, \(h=8\) mi.

Step2: Calculate each pair product

• \(lw = 6 \times 5 = 30\)
• \(lh = 6 \times 8 = 48\)
• \(wh = 5 \times 8 = 40\)

Step3: Sum the products

$$30 + 48 + 40 = 118$$

Step4: Multiply by 2

$$SA = 2 \times 118 = 236$$

Answer:

236 square miles