Question 1138797
<br>
If you need a formula for the load, including the constant of variation, then you can do as the other tutor suggested: use the given information to find the constant of variation and then use the resulting formula with the new set of parameters.<br>
But that's a lot of work when you are only asked to find the load for one different set of parameters.  It is much easier just to consider how the maximum load is affected by each change in the given parameters.<br>
The maximum load for the given parameters is 360kg.<br>
(1) The old length of the beam was 6m; the new length is 16m.  Since the maximum load varies inversely with the length of the beam, this change in length multiplies the maximum load by (6/16).<br>
(2) The old width of the beam was 0.1m; the new width is 0.2m.  Since the maximum load varies directly as the width of the beam, this change multiplies the maximum load by (0.2/0.1).<br>
(3) The old height of the beam was 0.06m; the new height is 0.08m.  Since the maximum load varies directly as the square of the height, this change multiplies the maximum load by ((4/3)^2)<br>
The maximum load for the new beam is<br>
{{{360((6/16)(0.2/0.1)(4^2/3^2))}}}
{{{360((6/16)(2)(16/9))}}}
{{{360(4/3) = 480}}}<br>
The maximum load of the new beam is 480kg.