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)?

686

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