Answer:
<h2>54 cm length and 36 cm width.</h2>
Step-by-step explanation:
Let's call the width of the cardboard sheet, is the length of it (the problem states that the length is 1.5 times the width).
Also, which is the removed part of the box.
Remember that the volume of a rectangular prism is the product between each dimension. In this case, we have
Where we already included the removed part of the box.
Replacing values, we have
Using a calculator, we have
Where only the positive number make sense to the problem, because there's no negative lengths.
So, the length is
Therefore, the dimensions are 54 cm length and 36 cm width.