Question

The volume of a wall $5$ times as high as its breadth and $8$ times as long as it is high is $18225m^3.$ Find the breadth of the wall.

• A. $32.5m$
• B. $5m$
• C. $4.5m$
• D. $3.5m$

Answer 1

The correct option is C $4.5m$

Let the breadth of the wall $=b$
Height of the wall$=5b$
Length of the wall $=8\times height=40b$
Volume of a cuboid of $=l\times b\times h$
$=>40b\times 5b\times b=18225m^3$
$=>b^3=91.125m^3$
$=>b=4.5m$