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)

Responses

16 dm2

84 3/8 dm2

58 1/8 8 dm2

116 1/4 dm2

1 answer

The surface area of a rectangular prism can be calculated using the formula: 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the rectangular prism.

Given:
Length = 3 3/4 dm = 3.75 dm
Width = 4 1/2 dm = 4.5 dm
Height = 5 dm

Surface area = 2lw + 2lh + 2wh
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 dm^2

Therefore, the surface area of the rectangular prism is 116 1/4 dm^2.