Three cubes each of volume 343 cm3 are placed side by side. What will be the surface area of the solid so formed (in cm2)?
Answer & explanation
Correct answer: option 2
We know that,
Volume of a cube = a3 ( a = side of the cube)
Total surface area of a cuboid(TSA) = 2(lb + bh + hl)
We have,
Volume of each cube = 343 cm3
According to the question:
a3 = 343
a = 7 cm
Total length of the cuboid = 7 + 7 + 7 = 21 cm
Breadth of the cuboid = 7 cm
Height of the cuboid = 7 cm
TSA of the cuboid = 2[(21 × 7) + (7 × 7) + (21 × 7)]
Total surface area of the cuboid = 686 cm2