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How many 3 meter cubes can be cut from a cuboid measuring 18 m × 12 m × 9 m?
  • a)
    72
  • b)
    70
  • c)
    76
  • d)
    92
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
How many 3 meter cubes can be cut from a cuboid measuring 18 m ×...

Calculating the number of 3 meter cubes:

First, we need to calculate the volume of the cuboid:
Volume = Length × Width × Height
Volume = 18m × 12m × 9m
Volume = 1944 cubic meters

Calculating the volume of one 3 meter cube:
Volume of one cube = 3m × 3m × 3m
Volume of one cube = 27 cubic meters

Calculating the number of cubes:
Number of cubes = Total volume of cuboid / Volume of one cube
Number of cubes = 1944 cubic meters / 27 cubic meters
Number of cubes = 72

Therefore, 72 cubes measuring 3 meters can be cut from a cuboid measuring 18m × 12m × 9m. Hence, the correct answer is option A) 72.
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Community Answer
How many 3 meter cubes can be cut from a cuboid measuring 18 m ×...
Edge of each cube = 3 m
Volume of each cube = (3)3 = 27 m3
Volume of the cuboid = 18 × 12 × 9 = 1944 m3
Therefore, number of cubes = 1944/27​ = 72
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