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)
Responses
15 cm
15 cm
158,400 cm
158,400 cm
40 cm
40 cm
45 cm
To find the width of the box, we can use the formula for the volume of a rectangular prism, which is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
Given that the volume of the box is 162,000 cubic centimeters, the height is 40 cm, and the length is 90 cm, we can substitute these values into the formula and solve for the width:
162,000 = 90 * w * 40
Divide both sides of the equation by (90 * 40):
w = 162,000 / (90 * 40)
w = 180 cm
Therefore, the width of the box is 180 cm.