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

Answer 1

To find the surface area of a rectangular prism, you need to calculate the area of each of the six faces and then add them up.

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 substitute 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 square decimeters

Therefore, the surface area of the rectangular prism is 116.25 square decimeters.