let’s math this.
A point has 0 dimension. 0 volume. A Line also has 0 volume but is drawn in 1 dimension. It has length, measured in one dimension. An encapsulated polygon (say a square) has 2 measurable dimensions, length and breadth, contained withiin it has a calculable area (xy). A polyhedron (eg a cube) has 3 measurable dimensions - length, breadth and height. Multiply those together and you have the contained volume. A hypercube is a theoretical construct consisting of four dimensions - length, breadth, height and let’s call it Bob. A hyper-hypercube has hypercube dimensions +1, let’s call that one Steve. To calculate the volume of a hyper-hypercube, you take the measure of each dimension and multiply them all, hence: xyzBobSteve. If you assume that each dimension of a capsule is 4m, then you can say 4x4x4x4x4=1024m^3 for the purposes of being a three-dimensional observer, but more correctly it would be 1024m^5. Something something something dimensional glovebox something something.
Of course, nothing forces you to assume that a container has uniform dimensions. Hence standard containers being hypercubes ending up with 20% more volume instead of an nth power increase in volume suggests that the invisible dimensions are a lot smaller than the observable ones.