Question

A cuboid of dimensions 60 cm,45 cm, 50 cm. How many small cubes with sides 5cm can be placed in a given cuboid.. Multi Line Text.
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Answer 1

Question:

• A cuboid of dimensions 60 cm,45 cm, 50 cm. How many small cubes with sides 5cm can be placed in a given cuboid.

To Find:

• How many small cubes with sides 5 cm can be placed in a given cuboid.

Given:

✯ Length of cuboid = 60 cm

✯ Breadth of cuboid = 45 cm

✯ Height of cuboid = 50 cm

✯ Side of cube = 5 cm

Solution:

As we know that,

• Volume of cuboid = length × breadth × height
• Volume of cube = (Side)³

Applying the values,

➩ Volume of cuboid = 60 × 45 × 50

➩ Volume of cuboid = 135000 cm³

➩ Volume of small cube = 5³

➩ Volume of small cube = 5 × 5 × 5

➩ Volume of small cube = 125 cm³

❍ Let the number of the required small cubes be x.

➩ x × 125 = 135000

➩ x = 135000/125

➩ x = 1080

• Therefore,1080 small cubes can be placed in the given cuboid.

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