Question

Find the volume of the given solid if all the cubes are identical and have a side length of $3$ units.

• A. 250 units${}^3$
• B. 170 units${}^3$
• C. 270 units${}^3$
• D. 80 units${}^3$

Answer 1

The correct option is C 270 units${}^3$


There are total 10 identical cubes in above shape.

• Dimensions of each cube is:

Volume of each cube is
$=side\times side\times side=3\times 3\times 3=27$ units${}^3$

∴ Volume of given solid = Volume of 10 cubes $=10\times 27=270$ units${}^3$