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?
To find the width of the box, we can divide the volume of the box by the product of the length and height.
Volume = Length * Width * Height
162,000 cm^3 = 90 cm * Width * 40 cm
Dividing both sides of the equation by the product of the length and height (90 cm * 40 cm), we get:
162,000 cm^3 / (90 cm * 40 cm) = Width
162,000 cm^3 / 3,600 cm^2 = Width
Width = 45 cm
Therefore, the width of the box is 45 cm.