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How many rectangular prisms can you make with only 20 unit cubes?

Three.


How many rectangular prisms can you make with 16 unit cubes?

There are only four different configurations.


How many different rectangular prisms can you make with 16 unit cubes?

Ignoring rotations, there are 3 distinct solutions.


How many rectangular prisms can you make with 24 unit cubes?

6 i think


How many rectangular prisms can you make with 2 cubes?

Just one, although the orientation of the prism might vary.


What amount of cubes make exactly 4 prisms?

2 cubes = 4 prisms


How many rectangular prisms can you make with 4 unit cubes?

To determine how many rectangular prisms can be made with 4 unit cubes, we need to consider the possible dimensions. The dimensions must be whole numbers that multiply to 4. The valid combinations are (1, 1, 4), (1, 2, 2), and their permutations. Thus, there are a total of 3 distinct rectangular prisms: one with dimensions 1x1x4, and one with dimensions 1x2x2.


How many rectangular prisms can you make with 18 unit cubes?

Oh, what a happy little question! With 18 unit cubes, you can create different rectangular prisms by arranging the cubes in various ways. Remember to explore different combinations and see how many unique rectangular prisms you can discover. Just have fun and let your imagination guide you on this creative journey!


How many rectangular prisms can you make with 6 unit cubes?

You can create five distinct rectangular prisms using 6 unit cubes. The possible dimensions are 1x1x6, 1x2x3, and their permutations, leading to the following combinations: 1x1x6, 1x2x3, and 2x3x1. Each combination can be arranged in different orientations, but the unique shapes remain limited to these configurations.


How many different solids can you make if the number of cubes is prime?

The answer depends on the number. Note that the question does not require the solids to be in the form of cubiods (rectangular prisms).


How many rectangular prisms can you make with 8 unit cubes?

To find the number of rectangular prisms that can be formed with 8 unit cubes, we need to consider the dimensions of the prisms (length, width, and height) such that their product equals 8. The possible sets of dimensions are (1, 1, 8), (1, 2, 4), and (2, 2, 2). When accounting for different arrangements of these dimensions, there are a total of 6 distinct rectangular prisms: (1, 1, 8), (1, 2, 4), (2, 1, 4), (2, 2, 2), and their permutations.


How many rectangular prisms can you make from 140 cubes?

To determine how many rectangular prisms can be made from 140 cubes, we need to consider the volume of the prisms, which is given by the formula ( V = l \times w \times h ) (length × width × height). The task involves finding all combinations of positive integers ( l ), ( w ), and ( h ) such that their product equals 140. The number of distinct rectangular prisms is equal to the number of unique factorizations of 140 into three positive integers, which can vary based on the order of dimensions.