Question

A block weighing 150 g when immersed in water taken in a Eureka can displace 10 mL of water. Find the density of the block.

• A. $10g/{\mathrm{cm}}^3$
• B. $15g/{\mathrm{cm}}^3$
• C. $20g/{\mathrm{cm}}^3$
• D. $25g/{\mathrm{cm}}^3$

Answer 1

The correct option is B $15g/{\mathrm{cm}}^3$

The mass and volume are required to determine the density of irregular solids. The mass of the block is already given in the question which is 150 g.
The amount of water displaced and collected in the measuring cylinder is equal to the volume of the solid.
The Eureka can displace 10 mL of water. So, the volume of the block will be 10 mL.
We know that,
$1\mathrm{mL}=1{\mathrm{cm}}^3$
So, $10\mathrm{mL}=10{\mathrm{cm}}^3$

We have the mass of the block = 150 g
And volume of the block = $10{\mathrm{cm}}^3$
Density = $\frac{\mathrm{Mass}}{\mathrm{Volume}}$
Density = $\frac{150g}{10{\mathrm{cm}}^3}$
Density = 15 $g/{\mathrm{cm}}^3$