Question : 2 cubes each of volumes 125 cm3 are joined end to end. The surface area of the resulting cuboid is:
Option 1: 325 cm2
Option 2: 350 cm2
Option 3: 125 cm2
Option 4: 250 cm2
Correct Answer: 250 cm 2
Solution :
Let the side of the cube be a.
Volume of each cube = 125 cm
3
⇒ a
3
= 125
$\therefore$ a = 5 cm
So, the edge of each cube = 5 cm
For new cuboid formed length(l) = 5 + 5 = 10 cm
breadth(b) = 5 cm
height(h) = 5 cm
$\therefore$ Surface area of the resulting cuboid
= 2 (lb + bh + lh)
= 2 (10 × 5 + 5 × 5 + 10 × 5) cm
2
= 250 cm
2
Hence, the correct answer is 250 cm
2
.
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