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?
A. 40 cm
B. 45 cm
C. 15 cm
D. 158,400 cm
The volume of a right rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height.
Plugging in the given values, we have:
162,000 = 90w(40)
Dividing both sides by 90*40, we have:
w = 162,000 / (90*40)
w = 45 cm
Therefore, the width of the box is 45 cm.
The correct answer is B. 45 cm.