Question

Cube $X$ has side of length $6$ cm and cube $Y$ has side of length $9$ cm. Which of the two cubes would have smaller volume?

• A. Cube $X$
• B. Cube $Y$
• C. Both the cubes have the same volume
• D. Cannot be compared

Answer 1

The correct option is A Cube $X$

For cube $X$:

Side of cube $=6$ cm
Volume of cube $=side\times side\times side$
Volume of cube $=6cm\times 6cm\times 6cm$
$=216c{m}^3$

The volume of cube $X$ is $216c{m}^3$.

For cube $Y$:

Side of cube $=9$ cm
Volume of cube $=side\times side\times side$
Volume of cube $=9cm\times 9cm\times 9cm$
$=729c{m}^3$

The volume of cube $Y$ is $729c{m}^3$.

As we know that,
$216c{m}^3<729c{m}^3$
we can say that the cube $X$ has a smaller volume.

Therefore, option (a.) is the correct answer.