The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 m³. The breadth of the wall is

Given: The volume of a wall is 12.8 m³.

Height is 5 times the breadth and Length is 8 times the height.

Let breadth = x

∴ Height = 5x

⇒ Length = 8 × (5x) = 40x

Volume of a Cuboid is given by: l × b × h (here l, b, h are, length, breadth, height respectively)

∴ l × b × h = 12.8

⇒ x × 5x × 40x = 12.8

⇒ 200x³ = 12.8

⇒ x³ = m³ =

⇒ x= ∛ m = m = 0.4 m

∴ x = 0.4m = 0.4 × 100 = 40cm

That is Breadth is: 40cm