A box measured 27 cm by 16 cm by 25 cm is about to be filled with smaller boxmeasured 3 cm by 4 cm by 5 cm.How many small boxes can fitinto the larger box?
Question
A box measured 27 cm by 16 cm by 25 cm is about to be filled with smaller boxes measured 3 cm by 4 cm by 5 cm.
How many small boxes can fit into the larger box?
Solution
To find out how many smaller boxes can fit into the larger box, you need to find the volume of both boxes first.
Step 1: Find the volume of the larger box The volume of a box (or any rectangular prism) is found by multiplying its length, width, and height. So for the larger box, you would calculate: Volume = 27 cm * 16 cm * 25 cm = 10800 cubic cm
Step 2: Find the volume of the smaller box Using the same formula, the volume of the smaller box is: Volume = 3 cm * 4 cm * 5 cm = 60 cubic cm
Step 3: Divide the volume of the larger box by the volume of the smaller box The number of smaller boxes that can fit into the larger box is found by dividing the volume of the larger box by the volume of the smaller box: Number of smaller boxes = 10800 cubic cm / 60 cubic cm = 180
So, 180 smaller boxes can fit into the larger box.
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