Question

The area of $3$ adjacent faces of cuboid are $36c{m}^2$, $81c{m}^2$, $21c{m}^2$. Find the volume of cuboid. (all units in cm).

• A. $594{cm}^3$
• B. $99{cm}^3$
• C. $66{cm}^3$
• D. None of the above

Answer 1

Answer: (A)

$594{cm}^3$

Given, $l\times b=36,bh=81,lh=121$

$\therefore lb\times bh\times lh=36\times 81\times 121$

$\therefore {\left(lbh\right)}^2=36\times 81\times 121$

Therefore, volume $lbh=\sqrt{36\times 81\times 121}$

$=6\times 9\times 11$

$=594c{m}^3$