What is the surface area of a rectangular prism with dimensions of 3 3/4 dm • 4 1/2 dm • 5 dm
To find the surface area of a rectangular prism, you need to calculate the areas of all six faces and then add them together.
The formula for the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Given dimensions:
Length (l) = 3 3/4 dm = 3.75 dm
Width (w) = 4 1/2 dm = 4.5 dm
Height (h) = 5 dm
Now plug in the values into the formula:
Surface Area = 2(3.75)(4.5) + 2(3.75)(5) + 2(4.5)(5)
Surface Area = 2(16.875) + 2(18.75) + 2(22.5)
Surface Area = 33.75 + 37.5 + 45
Surface Area = 116.25
Therefore, the surface area of the rectangular prism is 116.25 square decimeters.