Question

The mass of an ornament is m grams.

Answer 1

Given:

m is directly proportional to the cube of h.

m = 525 when h= 5.

To find:

The equation connecting m and h.

Solution:

m is directly proportional to the cube of h.

$m\propto h$

$m=kh$            ...(i)

Where, k is the constant of proportionality.

Putting m = 525 and h= 5, we get

$525=k(5)$

$\dfrac{525}{5}=k$

$105=k$

Putting k=105 in (i), we get

$m=105h$

Therefore, the required equation is $m=105h$.