64 boxes can fit in the shipping crate if they are stacked on top of each other along the longest dimension of the crate
We need to find out how many boxes can fit along the length of the crate. To do this, we divide the length of the crate by the length of the box.
boxes_per_length = crate_length // box_length
boxes_per_length = 240 cm // 60 cm
boxes_per_length = 4
We can do the same thing to find out how many boxes can fit along the width and height of the crate.
boxes_per_width = crate_width // box_width
boxes_per_width = 160 cm // 40 cm
boxes_per_width = 4
boxes_per_height = crate_height // box_height
boxes_per_height = 120 cm // 30 cm
boxes_per_height = 4
Now we simply multiply the number of boxes that can fit along the length, width, and height to find the total number of boxes that can fit in the crate.
total_boxes = boxes_per_length * boxes_per_width * boxes_per_height
total_boxes = 4 * 4 * 4
total_boxes = 64
Therefore, the shipping crate can hold 64 boxes.
Question:-
A car parts company is loading a shipping crate with boxes that measure 60 cm long, 40 cm wide, and 30 cm tall. The shipping crate measures 240 cm long, 160 cm wide, and 120 cm tall.
How many boxes can fit in the shipping crate if they are stacked on top of each other along the longest dimension of the crate?