Question

the dimension of a box are 60cn multiple 54cm multiple 30cm. how many small cubes of side 6cm can be placed in the box

Answer 1

Heya!!

Dimension of cuboidal box:

length = 60 cm
breadth= 54 cm
height= 30 cm

Dimension of cubical cubes:

side= 6 cm

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Now,

No of small cubes = vol of cuboidal box/ vol of cubical box

= 60 × 54 × 30/ 6 × 6 × 6

= 10 × 9 × 5

= 450

Hence, the number of cubes which can be placed in box is 450.


Hope ut helps uh:)

Answer 2

Given,

Length of the box, l = 60 cm
Breadth of the box, b = 54 cm
Height of the box, h = 30 cm

Hence,

Volume of the box, V = Length * Breadth * Height
V = l * b * h
V = 60 * 54 * 30
V = 1800 * 54
V = 97200 cm^3

Now,

Side of each of the smaller cubes = 6 cm

Therefore,

Volume of each smaller cube, v = ( side ) ^ 3
v = 6 ^ 3
v = 216 cm^3

Now,

The required number of cubes, n = 97200 / 216

On simplifying further we get,

n = 450

Hence,

The required number of cubes = 450