What is missing length of rectangular prism if height and width are both 8 inches. And surface area is 256 in^2
To find the missing length of the rectangular prism with a height and width of 8 inches and a surface area of 256 in^2, we first need to find the total surface area of the rectangular prism.
The formula for the total surface area of a rectangular prism is given by:
2lw + 2lh + 2wh
Given that the height and width are both 8 inches, we can substitute these values into the formula:
2(8)(8) + 2(8)(l) + 2(8)(l) = 256
128 + 16l + 16l = 256
32l + 128 = 256
32l = 128
l = 128/32
l = 4
Therefore, the missing length of the rectangular prism is 4 inches.