Question

Six cubes, each with $12$:cm edge, are joined end to end. Find the surface area of the resulting cuboid.

• A. $3744c{m}^2$
• B. $3700c{m}^2$
• C. $3722c{m}^2$
• D. $3743c{m}^2$

Answer 1

The correct option is A $3744c{m}^2$

We have, length $=6$ cube$=6\times 12=72$ cm
breadth $=$ height$=12$ cm
The surface area of the cuboid $=2(lb+bh+lh)c{m}^2$
$=2\left[\left(72\right)\left(12\right)+\left(12\right)\left(12\right)+\left(72\right)\left(12\right)\right]$
$=2\times 1872$
$=3744c{m}^2$