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

36 cubes.

Step-by-step explanation:

to find the number of cubes:

first, identify the volume of the box using the formula: LxWxH

18cm x 6cm x 9cm = 972 cm³

next, identify the volume of the cube to be placed:

given: cube with a side length of 3 cm

Thus, volume of the cube is 3³=27cm³

To identify the number of cubes, divide the volume of the box to the volume of the cubes. 972/27 = 36. Thus we need 36 cubes.