Question

Solid metal cube of side $3$ inches is placed in a rectangular tank whose length, width and height are $3,4$ and $5$ inches, respectively. What is the volume, in cubic units, of water that the tank can now hold?

• A. $20$
• B. $27$
• C. $33$
• D. $48$

Answer 1

The correct option is C $33$

Volume of water, that tank can hold $=$ Volume of tank - Volume of cube

$=lbh-a^3$

$=(3\times 4\times 5)-{\left(3\right)}^3$

$=60-27=33$