Final answer:
The total surface area of a right rectangular prism measuring 2.75 in by 4 in by 16.5 in is calculated using the formula 2lw + 2lh + 2wh, resulting in 244.75 in², which is option A.
Step-by-step explanation:
To calculate the total surface area of a right rectangular prism, you need to find the area of all six faces and add them together. The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. For a prism measuring 2.75 in by 4 in by 16.5 in, the calculation would be 2(2.75)(4) + 2(2.75)(16.5) + 2(4)(16.5).
Let's calculate each part:
- 2(2.75)(4) = 22 in²
- 2(2.75)(16.5) = 90.75 in²
- 2(4)(16.5) = 132 in²
Add them together to get the total surface area:
22 in² + 90.75 in² + 132 in² = 244.75 in²
Therefore, the total surface area of the prism is 244.75 in², which corresponds to option A.