Question

The number of cubes of sides $3cm$ than can be cut from a cuboid of dimensions $10cm\times 9cm\times 6cm$, is:

• A. $10$
• B. $20$
• C. $18$
• D. $9$

Answer 1

The correct option is B $20$

Given: Dimensions of cuboid: $10cm\times 9cm\times 6cm$

Side of cube $=3cm$

$\therefore$ Volume of cuboid $=10\times 9\times 6c{m}^3$

Volume of cube$=3\times 3\times 3c{m}^3$

Number of cubes that can be cut from a cuboid
$=\frac{Volumeofcuboid}{Volumeofcube}$

$=\frac{10\times 9\times 6}{3\times 3\times 3}$

$=10\times 2$

$=20$

Hence, (d) is the correct option.