Question

Two cubes each of volume 125 cm³ are joined end to end to form a solid. Find the surface area of the resulting cuboid.

Answer 1

Let the edge of the cube be a.

As,

Volume of the cube = 125 cm³ 

⇒ a³ = 125

`=> a = root(3)(125)`

`=> a = 5  "cm"`

So,

Length of the resulting cuboid, `l = 2xx5 = 10  "cm",`

Breath of the resulting cuboid, b = 5 cm and 

Height of the resulting cuboid, h = 5 cm

Now, 

Surface area of the resulting  cuboid = 2 (lb + bh + hl)

`= 2 xx (10xx5+5xx5+5xx10)`

`= 2xx(50+25+50)`

`=2xx125`

`=250 cm<sup>2</sup>`