Question

a delivery truck has an internal height of 3 meters, but a clearance of 0.4 meters is required from the top. each package you need to load has dimensions of 0.7 meters × 0.5 meters × 0.4 meters. if the packages can be stacked in any orientation, what is the maximum number of packages that can be stacked vertically in the truck? use the keypad to enter your answer in the box. a maximum of boxes can be stacked inside the truck.

Explanation:

Step1: Calculate available height

The available height for stacking is the internal height minus the clearance. So, \(3 - 0.4=2.6\) meters.

Step2: Determine the minimum height of a package

Since the packages can be stacked in any orientation, the minimum height of a package is \(0.4\) meters.

Step3: Calculate the number of packages

Divide the available height by the height of one package. \(\frac{2.6}{0.4}=6.5\). But we can't have a fraction of a package, so we take the integer part.

Answer:

\(6\)