Question

59. A large box of dimension 60 cm×54 cm×30 cm is filled with small cubes with side 6 cm. If each cube contains 25 chocolates, then how many chocolates can be placed in the large box ?
(A) 11,250 (B) 15,625 (C) 4,500 (D) 2,700

(Imdad Uddin Mazumder)

Answer 1

Step-by-step explanation:

Cuboid:

$\implies$ $Volume=60×54×30$

$\implies$ $Volume=97200\:cm^{3}$

Cube:

$\implies$ $Volume=6^{3}$

$\implies$ $Volume=216\:cm^{3}$

No. of boxes :

$\implies$ $boxes=\Large\frac{97200}{216}$

$\implies$ $boxes=450$

if each boxes has 25 chocolates, then 450 boxes has :

$\implies$ $450×25$

$\implies$ $\boxed{11,250\:chocolates}$

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Answer 2

There are 11250 chocolates can be placed in the large box.:

Step-by-step explanation:

Since we have given that

Dimension of small cubes = 6 cm

So, Volume of cube would be

$Side^3=6^3=126$

Dimension of large box = 60 cm×54 cm×30 cm

So, Volume of large box is given by

$60\times 54\times 30\\\\=97200\ cm^3$

Number of chocolates in each cube = 25

According to question, we get that

$\dfrac{216}{25}=\dfrac{97200}{x}\\\\216x=25\times 97200\\\\x=\dfrac{2430000}{216}\\\\x=11250$

Hence, there are 11250 chocolates can be placed in the large box.

Option 'A' is correct.

# learn more:

The dimensions of a box are 60cm 54 cm into 30 cm how many small cubes of side 6 CM can be placed in a box

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