[[1]] of 3 cm cubes be formed by melting a 15 cm cube of metal? - Sri Chaitanya Infinity Learn Best Online Courses for NCERT Solutions, CBSE, ICSE, JEE, NEET, Olympiad and Class 6 to 12

Let the number of cube that can be formed by melting a 15 cm cube of metal be

n

.
Now, let’s find the value of the cube of sides 3 cm first.
Volume of 3 cm cube

= (3 c m) 3 = 27 c m 3

So, to calculate the volume of n number of cubes of sides 3 cm, we will multiply it with n.
Volume of

n

number of 3 cm cube

= n × 27 cm 3 → (1)

Now, volume of cube of sides 15 cm

= 15 cm 3 = 3375 cm 3 → (2)

Now, equating equation (1) with equation (2) we get;

3375 cm 3 = n × 27 cm 3 ⇒ n = 3375 cm 3 27 cm 3 ⇒ n = 125

So, the number of 3 cm cubes that can be formed by melting a 15 cm cube of metal is 125.

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