Question

If six cubical boxes of 20 cm edge are joined end to end, then the total surface area (in sq. cm) of the resulting solid is _____.

• A. $10,400c{m}^2$
• B. $10,600c{m}^2$
• C. $10,300c{m}^2$
• D. $10,900c{m}^2$

Answer 1

The correct option is A $10,400c{m}^2$


If six cubical boxes are joined together,
length of new cuboid formed
(l) = 6 x 20 = 120 cm.
breadth of new cuboid formed
(b) = 20 cm.
height of new cuboid formed
(h) = 20 cm.

Total surface area of cuboid formed
= 2(lb + bh + hl )
$=2(120\times 20+20\times 20+20\times 120)$
$=10,400c{m}^2$