Geometry

Question Analysis:
This question involves calculating the total surface area of a rectangular prism.
The main focus is on applying the correct formula and accounting for all six faces of the prism.

Key Concept Explanation:
The total surface area of a rectangular prism is the sum of the areas of all six rectangular faces. The formula is:
TSA = 2(lw + lh + wh)
where l = length, w = width, h = height.

Step-by-Step Solution:
Identify the three different face areas:
lw = 8 × 5 = 40 cm²
lh = 8 × 3 = 24 cm²
wh = 5 × 3 = 15 cm²
Apply the formula:
TSA = 2(40 + 24 + 15) = 2(79) = 158 cm²