Hakeem is building a box in the shape of a right rectangular prism to store his toys. It has a volume of 162,00 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 use the formula for the volume of a rectangular prism, which is length times width times height. We are given the length as 90 cm and the height as 40 cm.
Therefore, the equation becomes 162,000 = 90 × width × 40.
To isolate the width, we divide both sides of the equation by 90 × 40.
So, width = 162,000 ÷ (90 × 40).
Calculating this gives us width = 45 cm.
Therefore, the width of the box is 45 cm.