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)

A: 116 1/4 dm B: 58 1/8 dm C: 16 dm D: 84 3/8 dm

1 answer

To find the surface area of a rectangular prism, you would use the formula:

Surface Area = 2lw + 2lh + 2wh

Given that the dimensions are 3 3/4 dm x 4 1/2 dm x 5 dm, we can plug these values into the formula:

Surface Area = 2(3 3/4)(4 1/2) + 2(3 3/4)(5) + 2(4 1/2)(5)
Surface Area = 2(15/4)(9/2) + 2(15/4)(20/4) + 2(9/2)(20/4)
Surface Area = (15/2) + (15/2) + (45/2)
Surface Area = 75/2 + 45/2 + 90/2
Surface Area = (75 + 45 + 90) / 2
Surface Area = 210 / 2
Surface Area = 105 square decimeters

Therefore, the surface area of the rectangular prism is 105 square decimeters.