Question

If three cubes each of edge $4\mathrm{cm}$ are placed end to end, then the dimensions of resulting solid are

• A. $12\mathrm{cm}\times 4\mathrm{cm}\times 4\mathrm{cm}$
• B. $4\mathrm{cm}\times 8\mathrm{cm}\times 4\mathrm{cm}$
• C. $4\mathrm{cm}\times 8\mathrm{cm}\times 12\mathrm{cm}$
• D. $4\mathrm{cm}\times 6\mathrm{cm}\times 8\mathrm{cm}$

Answer 1

The correct option is A

$12\mathrm{cm}\times 4\mathrm{cm}\times 4\mathrm{cm}$

Explanation for correct option
If three cubes each of edge $4\mathrm{cm}$ are placed end to end, then the resulting solid is in the form of cuboid

Therefore, Length $=(4+4+4)\mathrm{cm}$
$=12\mathrm{cm}$
Breadth $=4\mathrm{cm}$ and Height $=4\mathrm{cm}$
The dimension is $=12\mathrm{cm}\times 4\mathrm{cm}\times 4\mathrm{cm}$

Hence option(A) i.e. $12\mathrm{cm}\times 4\mathrm{cm}\times 4\mathrm{cm}$ is correct.