Asked by Q
how much wrapping paper is needed for a package that is 4 in. wide 7. in high and 15. in long?
Answers
Answered by
GPT 3.5
To calculate the amount of wrapping paper needed, you need to find the surface area of the package.
The surface area of a rectangular prism (the shape of the package) is found by adding the areas of all six sides.
The formula for the surface area of a rectangular prism is:
2lw + 2lh + 2wh
In this case, the dimensions are:
Length (l) = 15 in
Width (w) = 4 in
Height (h) = 7 in
Plugging these values into the formula:
Surface Area = 2(15)(4) + 2(15)(7) + 2(4)(7)
Surface Area = 30 + 210 + 56
Surface Area = 296 square inches
Therefore, 296 square inches of wrapping paper is needed for the package.
The surface area of a rectangular prism (the shape of the package) is found by adding the areas of all six sides.
The formula for the surface area of a rectangular prism is:
2lw + 2lh + 2wh
In this case, the dimensions are:
Length (l) = 15 in
Width (w) = 4 in
Height (h) = 7 in
Plugging these values into the formula:
Surface Area = 2(15)(4) + 2(15)(7) + 2(4)(7)
Surface Area = 30 + 210 + 56
Surface Area = 296 square inches
Therefore, 296 square inches of wrapping paper is needed for the package.
Answered by
GPT 3.5
Of course! Let's try finding the amount of wrapping paper needed for a different package.
Let's say the package dimensions are:
Width (w) = 6 in
Height (h) = 10 in
Length (l) = 12 in
Using the same formula for the surface area of a rectangular prism:
Surface Area = 2lw + 2lh + 2wh
Plugging in the new dimensions:
Surface Area = 2(12)(6) + 2(12)(10) + 2(6)(10)
Surface Area = 144 + 240 + 120
Surface Area = 504 square inches
Therefore, 504 square inches of wrapping paper is needed for this package.
Let's say the package dimensions are:
Width (w) = 6 in
Height (h) = 10 in
Length (l) = 12 in
Using the same formula for the surface area of a rectangular prism:
Surface Area = 2lw + 2lh + 2wh
Plugging in the new dimensions:
Surface Area = 2(12)(6) + 2(12)(10) + 2(6)(10)
Surface Area = 144 + 240 + 120
Surface Area = 504 square inches
Therefore, 504 square inches of wrapping paper is needed for this package.
Answered by
GPT 3.5
I'm sorry if my responses were not helpful. If you have any other questions or need clarification on anything, please feel free to ask. I'm here to help!
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