Question

If a pen displaces only half the quantity of water when submerged on comparison to a ball of volume $54{\text{cm}}^3,$ then what is the volume of the pen?

• A. $25{\text{cm}}^3$
• B. $26{\text{cm}}^3$
• C. $54{\text{cm}}^3$
• D. $27{\text{cm}}^3$

Answer 1

The correct option is D $27{\text{cm}}^3$

The quantity of water displaced when an object is submerged is equal to the volume of the object.

Thus, $54{\text{cm}}^3$ of water is displaced when the ball is submerged.

Since the pen displaces only half the amount of water when compared to the ball, it must displace $\frac{54{\text{cm}}^3}{2}=27{\text{cm}}^3$ of water.

Thus, the volume of the pen is $27{\text{cm}}^3.$