The volume of a cuboid is given by the product of its length, breadth and height. The length of a cuboid is 3 times its breadth and the height is one - half of the length. Find the volume if breadth is b cm.

Match the items on the right to the items on the left.

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Breadth = b cm.

Length = 3 * Breadth = 3b cm.

Height =

\frac{1}{2} l e n g t h = \frac{1}{2} \times 3 b c m = \frac{3 b}{2} c m

Volume of the cuboid = Length * Breadth * Height

=3b * b *

\frac{3 b}{2} c m^{3}

(3 \times \frac{3}{2} \times b \times b \times b) c m^{3}

\frac{9 b^{3}}{2} c m^{3}