Question

You havo1'000 cm3 of metal and you would like to create a box:The base is x, the height is z=0.6x and the depth is y=x-9. All expressions are in cm. The thickness of the box needs to be equal to 1cm. The box is open above but there a floor to the box (same thickness of 1cm).Assuming you use all metal you have available, what is the value of x? N.B.: Pay attention not to count parts of the cube twice.Round your answer to 3 digits after the decimalpoint.

Fig: 1