Question
What is the surface area of a rectangular prism whose dimensions are 3 3/4 dm x 4 1/2 dm x 5 dm in square decimetrers
Answers
GPT 3.5
To find the surface area of a rectangular prism, you need to calculate the area of each of its six faces and then add them up.
The formula for the surface area of a rectangular prism is:
2lw + 2lh + 2wh
Given dimensions:
l = 3 3/4 dm = 3.75 dm
w = 4 1/2 dm = 4.5 dm
h = 5 dm
Now, plug the values into the formula:
2(3.75)(4.5) + 2(3.75)(5) + 2(4.5)(5)
= 2(16.875) + 2(18.75) + 2(22.5)
= 33.75 + 37.5 + 45
= 116.25
Therefore, the surface area of the rectangular prism is 116.25 square decimeters.
The formula for the surface area of a rectangular prism is:
2lw + 2lh + 2wh
Given dimensions:
l = 3 3/4 dm = 3.75 dm
w = 4 1/2 dm = 4.5 dm
h = 5 dm
Now, plug the values into the formula:
2(3.75)(4.5) + 2(3.75)(5) + 2(4.5)(5)
= 2(16.875) + 2(18.75) + 2(22.5)
= 33.75 + 37.5 + 45
= 116.25
Therefore, the surface area of the rectangular prism is 116.25 square decimeters.