Question

4) A cuboid is of dimensions 50cm x 40cm
x 30cm. How many small cubes with side
6cm can be placed in the given cuboid?​

Answer 1

277 boxes can be fit.

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Answer 2

Answer: - 277

Detailed solution: -

Given: -

The dimensions of the Cuboid = 50cm x 40cm x 30cm

The side of the Cube = 6cm

We need to find the number of cubes that can be placed in the given cuboid.

To find the number of cubes that can be placed in the cuboid, we need to find the volume of the given cuboid and the volume of the given cube and then we need to divide both the volume with each other.

Therefore,

We will use the formulas to find the volume will be -

The volume of the cuboid formula = length × breadth × height

The volume of cube formula = side × side × side = side³

Therefore,

Now we will find the volume.

The volume of the cuboid = length × breadth × height

= 50cm x 40cm x 30cm

= 60000cm³

And,

The volume of cube = side³

= (6cm)³

= 216 cm³

Now,

The number of cubes that can be placed in the given cuboid = Volume of the cuboid / volume of the cube

$=\frac{60000}{216} \\\\= 277.78 (approx..)$

Therefore,

The number of cubes = 277

To know more about the topic, visit the below links: -

https://brainly.in/question/54180250

https://brainly.in/question/1932736

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