Question

The height of a wall is six times its width and the length of the wall is seven times its height If volume of the wall be $16128$ $m^3$ its width is

• A. $5$ m
• B. $4$ m
• C. $4.5$ m
• D. $6$ m

Answer 1

The correct option is B $4$ m

Let the width of the wall be $x$ m Then
Height = $6x$ m and Length = $(7\times 6$$x$)m = $42x$ m
Given volume of wall = $16128$
$\Rightarrow 42x\times x\times 6x=16128$
$\Rightarrow x^3=\frac{16128}{42\times 6}=64$ $\Rightarrow x=4$
$\therefore$ Width - $4m$