How many cubes with a side length of 3 cm can be placed inside a box with length of 18 cm, width of 6 cm and height of 9 cm?

The correct answer is 36 cubes

Step-by-step explanation:

It is given that  a box with length of 18 cm, width of 6 cm and height of 9 cm

To find the volume of cuboid

Here length = 18 cm

width = 6 cm and height = 9 cm

Volume of cuboid = length * breadth * height

= 18 * 6 * 9 = 972 cm³

To find the volume of small cube

Side length of cube = 3 cm

Volume of cube = side³ = 3³ = 27 cm³

To find the number of small cubes

Number of cubes = Volume of cuboid/Volume of cube

= 972/27 = 36 cubes

Therefore the correct answer is 36 cubes

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