Question

Calculate the volume of the given figure. Assume all lengths to be in centimetres

• A. $344c{m}^3$
• B. $334c{m}^3$
• C. $324c{m}^3$
• D. $314c{m}^3$

Answer 1

The correct option is C

$324c{m}^3$

To calculate the volume of the figure, we need to calculate the volumes of each of the rectangular blocks forming this figure and add them up.

We can divide the figure into 4 blocks (marked in red) as shown in the figure.

Block1:

length= 11 cm

Width=4 cm

Height = 3 cm

Volume $V=length\times width\times height$

Volume $V=11\times 4\times 3=132c{m}^3$

Block2:

length= 6 cm

Width=4 cm

Height = 3 cm

Volume $V=length\times width\times height$

Volume $V=6\times 4\times 3=72c{m}^3$

Block3:

length= 6 cm

Width=4 cm

Height = 3 cm

Volume $V=length\times width\times height$

Volume $V=6\times 4\times 3=72c{m}^3$

Block4:

length= 4 cm

Width=4 cm

Height = 3 cm

Volume $V=length\times width\times height$

Volume $V=4\times 4\times 3=48c{m}^3$

Total volume= Sum of the volumes of the 4 blocks = 132+72+72+48= $324c{m}^3$