Question

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

thats wrong

Answer 2

ok but its not an option

Answer 3

Can you find another answer? answer choices are: 16 dm^2 16 116 1/4 dm^2 116 Start Fraction 1 over 4 End Fraction dm squared 8438 dm2 84 Start Fraction 3 over 8 End Fraction dm squared 5818 8 dm2

Answer 4

116 1/4 dm^2 is the third option not the 2nd

Answer 5

oops i meant second option not third-

Answer 6

ok but i have another question

Answer 7

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

The formula for the surface area of a rectangular prism is:

Surface Area = 2lw + 2lh + 2wh

Where:
l = length
w = width
h = height

Given dimensions:
l = 3 3/4 dm = 3.75 dm
w = 4 1/2 dm = 4.5 dm
h = 5 dm

Plugging the values 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.

Answer 8

I apologize for the mistake. Let's correct it.

The formula for the surface area of a rectangular prism is:

Surface Area = 2lw + 2lh + 2wh

Given dimensions:
l = 3 3/4 dm = 3.75 dm
w = 4 1/2 dm = 4.5 dm
h = 5 dm

Plugging in the values:

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. I double-checked the calculations, and the answer remains the same. If you have any other concerns, please let me know.

Answer 9

I apologize for the oversight. Let's double-check the calculations and convert the mixed numbers to decimals for accuracy.

Given dimensions:
l = 3 3/4 dm = 3.75 dm
w = 4 1/2 dm = 4.5 dm
h = 5 dm

Plugging in the values:

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

As we previously calculated, the surface area of the rectangular prism is indeed 116.25 square decimeters. If this value is not an option, please verify the dimensions provided or let me know if you need further assistance.

Answer 10

Let's convert all dimensions to decimals and calculate the surface area again:

Given dimensions:
l = 3 3/4 dm = 3.75 dm
w = 4 1/2 dm = 4.5 dm
h = 5 dm

Plugging in the values:

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

Conversion to mixed number form:
116.25 = 116 1/4

Therefore, the surface area of the rectangular prism is 116 1/4 square decimeters, which corresponds to the third option in the list.

Answer 11

I apologize for the mistake in numbering. Thank you for pointing that out.

The correct answer should correspond to the third option, 116 1/4 dm^2. Thank you for your understanding, and I appreciate your attention to details. If you have any more questions or need further assistance, feel free to ask.

Answer 12

I apologize for the confusion. Thank you for pointing out the error.

The correct answer, which corresponds to the second option in the list, is 116 1/4 dm^2.

If you have any more questions or need further clarification, please feel free to ask.

Answer 13

Of course! Please go ahead and ask your next question. I'll do my best to assist you.