What is the surface area of a rectangular prism whose dimensions are 3 3/4 dm×4 1/2 dm×5 dm in square decimeters?(1 point)
A: 116 1/4 dm B: 58 1/8 dm C: 16 dm D: 84 3/8 dm
To calculate the surface area of a rectangular prism, you need to find the sum of the areas of all six faces.
Given dimensions:
Length = 3 3/4 dm = 3.75 dm
Width = 4 1/2 dm = 4.5 dm
Height = 5 dm
To find the surface area, we calculate:
2lw + 2lh + 2wh
2(3.75)(4.5) + 2(3.75)(5) + 2(4.5)(5)
2(16.875) + 2(18.75) + 2(22.5)
33.75 + 37.5 + 45
116.25
Therefore, the surface area of the rectangular prism is 116.25 square decimeters, which is equivalent to 116 1/4 dm.
So, the answer is A: 116 1/4 dm.