Question

The mass (m grams) of a bar of gold is directly proportional to its volume (V cm3)

The mass of a bar of gold of volume 5 cm3 is 95 grams
What is the volume of a bar of gold with a mass of 66.5 grams?

Answer 1

The volume of a bar of gold with a mass of 66.5 grams is
`3.5cm^(3)`

Explanation:

Given , mass(in grams) ∝ Volume (in cm3)

Here, volume of 95 grams bar = 5cm3

So, thevolume of 1 gram bar =
`(5 cm^(3) )/(95 g)` =
`(1)/(19)  cm^(3)`

⇒The volume of a bar with weight 66.5 grams =
`(1)/(19)  * 66.5 =  3.5 cm^(3)`

So, the volume of a bar of gold with a mass of 66.5 grams is
`3.5cm^(3)`