Question

The height of a wall is 6 times its width and the length of the wall is 7 times its height. If volume of the wall be 16128 cu.M, its width is: 4 m4.4 m5 m6 m

Answer 1

Answer:

Width of the wall is 4m

Step-by-step explanation:

Formula used:

Volume of cuboid = Length*Breadth*Height    cubic units

Let l, h and w be the length, height and width of the wall respectively

Given:

$l = 7h............(1)$

$h = 6w..........(2)$

using (2) in (1) we get

$l = 7(6w)$

$l = 42w$

Volume of the wall = 16128 cubic m.

$l*w*h=16128$

$(42w)*w*(6w)=16128$

$42*6*w^3=16128$

$w^3=\frac{16128}{42*6}$

$w^3=\frac{2688}{42}$

$w^3=64$

$w=4\:m$

Answer 2

Answer:

The height of a wall is 6 times its width and the length of the wall is 7 times its height. If volume of the wall be 16128 cu.M then its width would be 4m

Step-by-step explanation:

Let say width of wall = a m

Height of wall = 6 * width of wall = 6a m

Length of wall = 7 * (height of wall) = 7 * 6a  m

Volume of wall = Length * width * height = 16128 m³

7 *6a * a * 6a = 16128

=> a³ = 64

=> a³ = 4³

=> a = 4

Width of wall = 4m