2. What is missing length of rectangular prism if height and width are both 8 inches. And surface area is 256 in^2
show your work AI
First, we need to find the missing length of the rectangular prism. Let's denote the missing length as "L".
The surface area of a rectangular prism can be calculated using the formula:
Surface Area = 2lw + 2lh + 2wh
Given:
Width (w) = 8 inches
Height (h) = 8 inches
Surface Area = 256 in^2
Plugging in the values and setting the equation equal to the surface area:
256 = 2(8)(8) + 2(8)(L) + 2(8)(L)
256 = 128 + 16L + 16L
256 = 128 + 32L
128 = 32L
L = 4
Therefore, the missing length of the rectangular prism is 4 inches.