Question

If a solid cube of dimensions $10cm\times 10cm\times 10cm$ is put inside a cuboid of dimensions $10cm\times 20cm\times 30cm$, then what's the volume of space remaining inside the cuboid?

• A. 6000 $c{m}^3$
• B. 5000 $c{m}^3$
• C. 1000 $c{m}^3$
• D. 7000 $c{m}^3$

Answer 1

The correct option is B 5000 $c{m}^3$

We know that,
Volume of cuboid
$=length\times breadth\times height$
Volume of cube
$=lengt{h}^3$

Now,
Volume of space remaining
= volume of cuboid - volume of cube
= $10\times 20\times 30$ - ${10}^3$
= 6000 $c{m}^3$ - 1000 $c{m}^3$
= 5000 $c{m}^3$

Hence, volume of space remaining is 5000 $c{m}^3$.