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A room is in the form of a cuboid of measures 60m x 40m x 30m. how many cuboidal boxes can be stored in it if the volume of one box is 0.8m^3?
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A room is in the form of a cuboid of measures 60m x 40m x 30m. how man...
Room Volume Calculation
To determine how many cuboidal boxes can be stored in a room, we first need to calculate the volume of the room.
- The formula for the volume of a cuboid is:
- Volume = Length × Width × Height
- For the given room dimensions:
- Length = 60m
- Width = 40m
- Height = 30m
- Calculating the room's volume:
- Volume = 60m × 40m × 30m = 72,000m³
Volume of One Box
Next, we calculate the volume of a single cuboidal box:
- Volume of one box = 0.8m³
Number of Boxes Calculation
Now, we can find out how many boxes can fit into the total volume of the room:
- To find the number of boxes:
- Number of boxes = Total volume of the room / Volume of one box
- Number of boxes = 72,000m³ / 0.8m³ = 90,000 boxes
Conclusion
In summary, the room can accommodate a total of:
- 90,000 cuboidal boxes, each with a volume of 0.8m³.
This calculation assumes that the boxes can be perfectly packed without any wasted space.
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A room is in the form of a cuboid of measures 60m x 40m x 30m. how many cuboidal boxes can be stored in it if the volume of one box is 0.8m^3?
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