That's volume. Area is the measurement of a given surface.
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the area of the box * * * * * The correct answer is the VOLUME (or capacity) of the box.
Multiply the base*height*width.
The area of the box is immaterial. If this is just a normal math question then the answer is 3 dimensions. Length Width and Depth. If is a question ref mathematical theory, then Space and Time bring the answer upto 5, but for this you would have to be doing a degree.
Well, if length x width x height is volume, and length x width is area, then divide volume by area and you should get the dimension for height. (I think).
This might be a long answer, but let's try. Suppose the width, height, and length of the box are l, w, and h. The area of one face is l*w. The area of the second face is w*h. The area of the third face is l*h. Multiply these three equations together. Whatever the product is will be equal to l2w2h2. Take the square root of this product to get lwh, the volume of the box.