Jamie is building a box by the pool for the pool toys. They want the box’s volume to be 31.5 cubic feet. The space can hold a box that is 4.5 ft. long and 2.5 ft. wide. How high should the box be in order to meet the volume requirement? Write your answer in decimal form. (The volume of a box is length times width times height.)

Answer 1

Let the height of the box be h.
The formula for volume is V = Length * Width * Height.
Substituting the given values, we get 31.5 = 4.5 * 2.5 * h.
Dividing both sides of the equation by 4.5 * 2.5, we get h = 31.5 / (4.5 * 2.5).
Simplifying the right side of the equation gives h = 31.5 / 11.25.
Therefore, the height of the box should be approximately h = <<2.8=2.8>>2.8 feet. Answer: \boxed{2.8}.