Question

ben has 4 unit cubes. how many different rectangular prisms can he make using all 4 unit cubes

Answer 1

Using 4 unit cubes 2 rectangular prisms could be made.

One with dimensions, $4\; unit \;by \;1 unit\; by\; 1 \; unit$.

The other with dimensions, $2\; unit \;by \;2 unit\; by\; 1 \; unit$.

The figure of a rectangular prism is given below.

Answer 2

There can be made 2 different rectangular prisms by 4 unit cubes.

What is a cube?

A cube is a prism having a height equal to the side of the square base.

In order to have a rectangular prism, the base of the prism should be a rectangle.

So, there are two ways to make the rectangular base.

1)By keeping two cubes side by side i.e a base with a dimension of 2 units*1 unit and a height of 2units.

2)By keeping four cubes one over another i.e. a base with a dimension of 1 unit*1 unit and a height of 4 units.

Find the attached diagram to visualize it better.

Hence, There can be made 2 different rectangular prisms by 4 unit cubes.

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