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 cu. meters. Find the breadth of the wall. A. 40cm B. 30cm C. 20cm D. 10cm Answer Workspace Report Discuss Answer with explanation Answer: Option A Explanation (or) Given: The volume of a wall is 12.8 m^{3}. Height is 5 times the breadth and length is 8 times the height. Let breadth = x ∴ Height = 5x ⇒ Length = 8 × (5x) = 40x The 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 ⇒ 200x^{3} = 12.8 ⇒ x^{3} = 12.8/200 m^{3} = 8/125 ⇒ x= ∛ (8/125)m = 2/5 m = 0.4 m ∴ x = 0.4m = 0.4 × 100 = 40cm That is Breadth is: 40cm Workspace

Saran Harika says January 25, 2020 at 2:39 pm 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 The 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 ⇒ 200×3 = 12.8 ⇒ x3 = 12.8/200 m3 = 8/125 ⇒ x= ∛ (8/125)m = 2/5 m = 0.4 m ∴ x = 0.4m = 0.4 × 100 = 40cm Reply

Rajib gogoi says

How to solve

Saran Harika says

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

The 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

⇒ 200×3 = 12.8

⇒ x3 = 12.8/200 m3 = 8/125

⇒ x= ∛ (8/125)m = 2/5 m = 0.4 m

∴ x = 0.4m = 0.4 × 100 = 40cm