Question

A cuboid has dimensions $6cm\times 4cm\times 2cm$. Number of cubes of $2cm$ side that can be cut from this cuboid is:

• A. $6$
• B. $10$
• C. $12$
• D. $18$

Answer 1

The correct option is A $6$

Dimension of the cuboid is $l=6cm,b=4cm,h=2cm$

$\therefore$Volume of the cuboid=$l\times b\times h=6\times 4\times 2=48c{m}^3$

Dimension of the cube=2cm

Volume of the cube of side$=(side{)}^2=(2{)}^3=8c{m}^3$

$\therefore$Number of cubes$=\frac{Volumeofthecuboid}{volumeofthecube}=\frac{48}{8}=6$

Hence 6 cubes can be cut from this cuboid.