Question

Seven cubes of same volume having side $5cm$ are joined end to end. Find the Surface area of the resulting cuboid.

• A. 750 $c{m}^2$
• B. 1500 $c{m}^2$
• C. 2250 $c{m}^2$
• D. 700 $c{m}^2$

Answer 1

The correct option is A

750 $c{m}^2$

We know that,
when two or more cubes are joined end to end, the resulting object is a cuboid.

Length of the cuboid formed
$=7\times 5$
$=35cm$

Breadth of the cuboid formed
$=5cm$

Height of the cuboid formed
$=5cm$

$\therefore$ The surface area of the resulting object
$=2(lb+bh+lh)$
$=2(35\times 5+5\times 5+35\times 5)$
$=2\times 375$
$=750c{m}^2$