Hakeem is building a box in the shape of a right rectangular prism to store his toys. It has a volume of 162,000 cubic centimeters. What is the width of the box if the height is 40 cm and the length is 90 cm?
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The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height.
We are given that the length is 90 cm, the height is 40 cm, and the volume is 162,000 cubic centimeters. Plugging these values into the formula, we get 162,000 = 90w(40).
Dividing both sides of the equation by 90(40), we get 162,000/(90*40) = w.
This simplifies to w = 3.6 cm. Therefore, the width of the box is 3.6 cm.