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To find the width of the box, we first need to understand the formula for the volume of a rectangular prism:
Volume = length x width x height
Given values:
Volume = 162,000 cubic centimeters
Height = 40 centimeters
Length = 90 centimeters
Now substitute the given values into the formula:
162,000 = 90 x width x 40
Now solve for the width:
width = 162,000 / (90 * 40)
width = 162,000 / 3600
width = 45 centimeters
Therefore, the width of the box is 45 centimeters.
So, the correct answer is:
d. 45 centimeters