Question

The volume of a cube of side $\frac{9}{2}$ cm is ______.

• A. $\frac{729}{8}c{m}^3$
• B. $\frac{343}{27}c{m}^3$
• C. $\frac{343}{81}c{m}^3$
• D. $\frac{729}{27}c{m}^3$

Answer 1

The correct option is A

$\frac{729}{8}c{m}^3$

Volume of a cube of side 's' cm is $s^{3}cm$.
Therefore for a cube of side $\frac{9}{2}$ cm
Volume = $(\frac{9}{2}{)}^3=\frac{9}{2}\times \frac{9}{2}\times \frac{9}{2}=\frac{9\times 9\times 9}{2\times 2\times 2}=\frac{729}{8}c{m}^3$