First, we need to set up the formula for surface area of a rectangular prism:
SA = 2lw + 2lh + 2wh
We know SA = 369.5 in², h = 9.5 in, and w = 3 in. We can plug in these values and solve for l:
369.5 = 2(l)(3) + 2(l)(9.5) + 2(3)(9.5)
369.5 = 6l + 19l + 57
369.5 = 25l + 57
312.5 = 25l
l = 12.50
Therefore, the length of the box is approximately 12.50 inches.
A shipping box has a surface area of 369.5 in2, a height of 9.5 inches, and a width of 3 inches. What is the length of the box? Round the answer to the nearest hundredth.
1 answer
1 answer