Question

the dimensions of a box are 60cm×54cm×30cm. how many small cubes of side 6cm can be placed in the box​

Answer 1

According to question.

Length of the box = 60cm

Breadth of box = 54cm

Height of box = 30cm

As all dimensions are given ,

Volume of Cube = l×b×h

= 60×54×30

= 1800×54

= 97,200

As it is given that small cubes of 6cm

is to be placed in a box

So, Volume of small cube = a³

= 6 × 6 × 6 = 216

Total number of cubes to be placed in box

= Voulme of box/volume of cube

= 97200/216

= 450

So, total numbers of cube that can be placed in box is 450

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Answer 2

$\underline \mathbb{SOLUTION}$

$\underline \mathbb{ATQ,}$

$length \: of \: box = 60cm$

$breadth \: of \: box = 54cm$

$heigth \: of \: box = 30cm$

$\underline \mathbb{GIVEN}$

》$volume \: of \: cube = l \times b \times h$

$= > 60 \times 54 \times 30$

$= > 1800 \times 54$

$= > 97200$

》Given that,

Small cubes of 6cm are to be placed in a box.

$\underline \mathbb{SO}$

$volume \: of \: small \: cube = {a}^{3}$

$= > 6 \times 6 \times 6 = 216$

》TOTAL NUMBER OF CUBES ..

$= > \frac{volume \: of \: box}{volume \: of \: cube}$

$= > \frac{97200}{216}$

$= 450$

》HENCE,TOTAL NO.OF CUBE THAT CAN BE PLACED IN BOX IS 450.

$\underline \mathbb{ANSWER=450}$

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