What is the surface area of a rectangular prism whose dimensions are 3 3/4dm, 4 1/2dm, 5dm in square decimeters.

A:116 1/4 dm2

B:16 dm2

C:58 1/8 8 dm2

D:84 3/8 dm2

1 answer

First, we need to find the surface area of each face of the rectangular prism.

Face 1: 3 3/4 dm x 4 1/2 dm = 16 7/8 dm²
Face 2: 3 3/4 dm x 5 dm = 18 3/4 dm²
Face 3: 4 1/2 dm x 5 dm = 22 1/2 dm²

To find the total surface area, we add up the areas of all six faces:

16 7/8 dm² + 16 7/8 dm² + 18 3/4 dm² + 18 3/4 dm² + 22 1/2 dm² + 22 1/2 dm²

Simplifying:

= 116 1/4 dm²

Therefore, the answer is A: 116 1/4 dm².