Question

Two cubes each of volume 27 cm³ are joined end to end to form a solid. Find the surface area of the resulting cuboid.

Answer 1

As , volume of a cube = 27 cm³
⇒ (edge)³ = 27

⇒ edge = `root {3}(27)`

⇒ edge = 3 cm
The length of the resulting cuboid , l = 3 + 3 = 6 cm ,
its breath , b = 3 cm and its height , h = 3 cm
Now , the surface area of the resulting cuboid = 2(lb + bh + hl)
= `2  (6 xx 3 + 3 xx 3 + 3 xx 6)`
= 2 (18 + 9 + 18)
= `2 xx 45`
= 90 cm²