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Question
The number of cubes of side 3 cm that can be cut from a cuboid of dimensions 10 cm × 9 cm × 6 cm, is ______.
Options
9
10
18
20
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Solution
The number of cubes of side 3 cm that can be cut from a cuboid of dimensions 10 cm × 9 cm × 6 cm, is 20.
Explanation:
Given,
Side of cube = 3 cm
Dimension of cuboid = 10 cm × 9 cm × 6 cm
Volume of cuboid = 10 × 9 × 6 = 540 cm3
Volume of cube = a3 = 33 = 27 cm3
Number of cubes can be formed = `"Volume of cuboid"/"Volume of cube"`
= `540/27` = 20
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