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)
The surface area of a rectangular prism is calculated by adding the areas of all of its six faces.
The formula for calculating the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Given:
Length (l) = 3 3/4 dm = 3.75 dm
Width (w) = 4 1/2 dm = 4.5 dm
Height (h) = 5 dm
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 square decimeters
Therefore, the surface area of the rectangular prism is 116.25 square decimeters.