what are the dimensions of a gallon can of uniform square cross section whose height is twice the length of an edge of its base?
To find the dimensions of the gallon can, let's assume that the length of an edge of its base is denoted by "x".
According to the question, the height of the can is twice the length of its base, so the height can be expressed as 2x.
Since the cross-section of the can is a square, both the length and width of the base are equal to x.
Now, to determine the dimensions of the can, we need to know if it is specified whether a gallon can is cylindrical or not. If the gallon can is cylindrical, we can use the formula for the volume of a cylinder, which is given by:
Volume = π * r^2 * h
where r is the radius and h is the height. However, this formula cannot be used if the can is not assumed to be cylindrical.
Therefore, unless further information is provided, we cannot determine the exact dimensions of the gallon can based solely on the given information.