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Q: How many different rectangular prisms can be made using 48 cubes if the height is 4 cubes?

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There are lots of 3 dimensional shapes, like spheres, cubes, rectangular prisms, triangular prisms, pyramids, tetrahedrons, the list could go on forever.

A sphere. All other solids, including cubes, rectangular prisms, and cones all have at least one vertex.

In the case of a rectangular cuboid, I would say that the volume is simply DEFINED to be length x width x height. The volume of other, more complicated shapes, can then be derived, based on this basic definition. But you do need to have a starting point, i.e., "How is volume even defined in the first place?"Just to show that this definition makes sense, think of a rectangular cuboid as having integer values for length, width, and height. In that case, you can divide it into unit cubes (cubes of side length 1), and it is easy to see (basically, by counting the unit cubes) that the number of unit cubes will be length x width x height - IN THIS SPECIAL CASE.

The answer probably is 3*2*4 = 24 unit cubes but you could also do it with 10 cubes: 2 cubes of size 2*2*2 and 8 unit cubes. The question does not require the cubes to be unit cubes.

They are not generally called seven cubes.

Related questions

3

Cubes have a square on each side, but rectangular prisms have rectangles or squares.

2 prisms

Cubes are special cases of rectangular prisms.

No it is not

NO

no. :D

There are only four different configurations.

Only one.

Ignoring rotations, there are 3 distinct solutions.

answ2. Cubes is a subset of the set rectangular prisms, limited to those where all edges are equal. (or all faces are equal)yes a rectangle and square. are they the same no

no, but a cube is a rectangular prism... Remember this, a square is a rectangle but a rectangle is never a square!

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