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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 ×...
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
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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Community 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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