Question

What is the volume of the following figure?

• A. $10c{m}^3$
• B. $20c{m}^3$
• C. $15c{m}^3$
• D. $12c{m}^3$

Answer 1

The correct option is B

$20c{m}^3$

We can find the volume of the above figure by dividing the composite figure into unit cubes and adding the volumes.

The above composite figure can be divided into two smaller cubes(one small one on the top and the other in the bottom).

The bigger cube on the bottom has 6 cubes each in 3 layers,so $6\times 3=18c{m}^3$

The small cube on the top has two unit cubes so the volume is $2c{m}^3$

$\therefore$the volume of the cube $=18+2=20c{m}^3$