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?
(1 point)
• 45 ст
• 15 cm
• 158,400 cm
• 40 cm
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.
In this case, we are given that the volume is 162,000 cubic centimeters, the height is 40 cm, and the length is 90 cm.
Plugging these values into the formula, we get:
162,000 = 90w*40
Dividing both sides of the equation by 90*40, we get:
w = 162,000 / (90*40)
Evaluating this expression, we get:
w = 162,000 / 3600
Simplifying, we find:
w = 45
Therefore, the width of the box is 45 cm, which corresponds to option 1.