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How do you find the length width and the height of a rectangular prism if you already have your surface area?
You cannot find a unique solution because blocks of different shapes and volumes can still have the same surface area.
You can find the dimensions of a cube with the given surface area; it is the largest volume of a rectangular prism for a given surface area.
A cube has six equal square sides. Take the total surface area "At", divide this by 6 to get the area of one side "As":
At / 6 = As
The length Ls of one side of the cube is the square root of As .
Ls = sqrt (As ) = sqrt (At / 6 )
All the edges of a cube are of course the exact same length.
Another solution is a very thin square prism (almost a sheet but with a finite thickness) with the top and bottom just slightly less than half the surface area; the remainder has to be spread out along the edge which can be arbitrarily narrow.
Theoretically you can have a very long rectangular prism and so very large values for the length if the height and width are very small and still have the surface area set out in the problem.
What else can I help you with?
What is the surface volume of a rectangular prism with a length of 11m width of 8m and height of 3m?
A rectangular prism with a length of 11m, width of 8m and height of 3m has a volume of 264m3
Total surface area of rectangular solid?
The formula for the surface area of a rectangular solid is = 2lw + 2lh + 2wh 2(length x width)+2(length x height)+2(width x height)
What is the surface of a rectangular prism with a length of 9Cm width or 13Cm and a height of 18.4Cm?
1043.6
What are the length width and height of a rectangular prism when the surface area is 720 inches?
The area does not provide sufficient information to determine the length, width and height.
What is the surface area of a rectangular prism with measurements of 4 cm and 2cm?
You need three measures of length to determine the surface area - the length, width and height.
How do you calculate the area of a rectangular crystal surface?
It is 2*(Length*Breadth + Breadth*Height + Height*Length).
What is the surface volume of a rectangular prism with a length of 11m width of 8m and height of 3m?
A rectangular prism with a length of 11m, width of 8m and height of 3m has a volume of 264m3
Total surface area of rectangular solid?
The formula for the surface area of a rectangular solid is = 2lw + 2lh + 2wh 2(length x width)+2(length x height)+2(width x height)
What is the formula to find the surface area of a rectangular prism?
Length x Height x 2 Length x Height x 4
What is the surface of a rectangular prism with a length of 9Cm width or 13Cm and a height of 18.4Cm?
1043.6
What is the surface are of a rectangular prism with 18 in length 5in width and 6in height?
vbg
How do you get the surface area of a rectangular prism?
the Surface area of a Rectangular prism is (2 x Length x Breadth) + (2 x Length x Height) + (2 x Breadth x Height) By austin from Covenant christian school
What are the length width and height of a rectangular prism when the surface area is 720 inches?
The area does not provide sufficient information to determine the length, width and height.
How do you find the surface area of a rectangular prism length 5 and height 8?
5+5
How do you find the surface area of a rectangular box?
you multiply the length times width times height.
What is the surface area of a rectangular prism with measurements of 4 cm and 2cm?
You need three measures of length to determine the surface area - the length, width and height.
Surface area of rectangular prism?
The surface area of a rectangular prism can be calculated by adding the areas of all six faces. The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l, w, and h represent the length, width, and height of the prism, respectively. This formula accounts for the two faces of each dimension (length, width, and height) on the rectangular prism.
