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)
To find the surface area of a rectangular prism, you use the formula:
Surface Area = 2lw + 2lh + 2wh
Where l, w, and h are the length, width, and height of the prism, respectively.
Given dimensions are:
Length (l) = 3 3/4 dm = 15/4 dm
Width (w) = 4 1/2 dm = 9/2 dm
Height (h) = 5 dm
Substitute the values into the formula:
Surface Area = 2(15/4)(9/2) + 2(15/4)(5) + 2(9/2)(5)
Surface Area = 135/4 + 75/2 + 45
Surface Area = 33.75 + 37.5 + 45
Surface Area = 116.25 dm^2
Therefore, the surface area of the rectangular prism is 116.25 square decimeters.