Question

The number of cubes of side $3cm$ that can be cut from a cube of side $6cm$ is:

• A. $6$
• B. $5$
• C. $7$
• D. $8$

Answer 1

The correct option is D $8$

We know, volume of cube $V=a^3$, where $a$ is the side of the cube.

Given, The small side of cube is $3cm$ and other cube is $6cm$.

Then, volume of cube $=6^3=6\times 6\times 6=216c{m}^3$

And volume of cube =$3\times 3\times 3=27c{m}^3$.

Then, The number of cubes cut in longer cube =$\frac{216}{27}=8$.

Therefore, option $D$ is correct.