he length of the storage room is 3.2 meters and the width is 2.8 meters. Glove boxes are stacked up to a height of 2.4 meters in the warehouse. The glove box is a cube with a side length of 40 cm.
Question
he length of the storage room is 3.2 meters and the width is 2.8 meters. Glove boxes are stacked up to a height of 2.4 meters in the warehouse. The glove box is a cube with a side length of 40 cm.
Solution
First, we need to convert the dimensions of the storage room and the glove box into the same units. Since the storage room is given in meters and the glove box in centimeters, we'll convert everything to meters for simplicity.
The glove box has a side length of 40 cm, which is 0.4 meters.
Next, we calculate the volume of the storage room and the glove box.
The volume of the storage room is length x width x height = 3.2 meters x 2.8 meters x 2.4 meters = 21.504 cubic meters.
The volume of the glove box is side length x side length x side length = 0.4 meters x 0.4 meters x 0.4 meters = 0.064 cubic meters.
Finally, we find out how many glove boxes can fit in the storage room by dividing the volume of the storage room by the volume of one glove box.
So, the number of glove boxes that can fit in the storage room is 21.504 cubic meters / 0.064 cubic meters = 335.75.
Since we can't have a fraction of a glove box, we round down to the nearest whole number.
Therefore, 335 glove boxes can fit in the storage room.
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