Question

A steel spoon having mass 200 gram has volume of 100 cc. What will be the volume of a steel glass having mass 600 gram?

• A. 200 cc
• B. 300 cc
• C. 400 cc
• D. 600 cc

Answer 1

The correct option is B

300 cc

The relation of density with mass and volume is given by: $d$ = $\frac{m}{v}$

According to the above relation, density of spoon can be written as

$d_{spoon}=\frac{200g}{100cc}=2\frac{g}{cc}$

and, density of glass can be written as

$d_{glass}=\frac{m}{v}=\frac{600}{v}$

Both spoon and glass are made up of same type of metal i.e steel, hence they will have same density.

On equating, the density of spoon with density of glass, we get

$2=\frac{600}{v}$

$v$ = 300 cc
Hence, volume of glass is 300 cc.