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The formula to find the volume of a box is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
Given:
V = 400 in^3
h = 5 in
w = 8 in
Substitute the given values into the formula:
400 = l(8)(5)
Solve for l:
l = 400 / (8*5)
l = 400 / 40
l = 10
The length of the box is 10 in. Therefore, the answer is C) 10 in.