Question

Find the volume of the 3D shape formed by joining cubes if one of the cubes is removed from the shape.

• A. $12$ cu cm
• B. $21$ cu cm
• C. $22$ cu cm
• D. $11$ cu cm

Answer 1

The correct option is D $11$ cu cm



Volume of a single cube $=1$ cu cm

Number of cubes in the base layer $=2\times 3$ $=6$ cubes
Volume of one layer $=$ Volume of $1$ unit cube $\times$ Number of cubes in the layer $=1\times 6=6$ cu cm
Number of cubes in the shape $=$ Number of cubes in base layer $\times$ Number of layers $=6\times 2=12$ cubes
Resultant number of cubes after one of the cubes is removed $=12-1=11$ cubes
Volume of the final shape $=11\times 1=11$ cu cm