6. A shipping company has a rule that all packages must be rectangular prisms with a volume of no more than 9 cubic feet. What is the maximum measure for the height of the a box that has a width of 1.5 feet and a length of 3 feet?

To find the maximum height of the box, we can use the formula for the volume of a rectangular prism, which is length × width × height. Given that the volume must be no more than 9 cubic feet, we can set up the equation: 3 feet (length) × 1.5 feet (width) × height = 9 cubic feet. Calculating the width and length gives us 4.5 cubic feet. Now, we can rearrange the formula to solve for height: height = volume / (length × width). Substituting the values gives us height = 9 / 4.5 = 2 feet. So, the maximum height of the box is 2 feet. Now you can make all your shipping dreams come true with a box that fits snugly within those shipping limits!