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To find the number of different rectangular prisms that can be built using 18 unit cubes, we need to determine the possible dimensions ( (l, w, h) ) such that ( l \times w \times h = 18 ), where ( l ), ( w ), and ( h ) are positive integers. The factor combinations of 18 are: ( (1, 1, 18) ), ( (1, 2, 9) ), ( (1, 3, 6) ), ( (2, 3, 3) ), and their permutations. Counting unique arrangements, there are a total of 6 distinct rectangular prisms that can be formed.
To determine the number of different rectangular prisms that can be made using exactly 12 cubes, we need to find all the possible combinations of dimensions that result in a volume of 12. The factors of 12 are 1, 2, 3, 4, 6, and 12. Each factor represents a possible dimension for the rectangular prism. Therefore, there are 6 different rectangular prisms that can be made using exactly 12 cubes.
There are many options: 2 rectangular prisms 2 cubes 2 parallelepipeds 2 tetrahedrons 2 square based pyramids are some possibilities using convex polyhedra.
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Well, honey, if the height is 4 cubes, that leaves you with 12 cubes to work with for the base. You can arrange those 12 cubes in various ways to form different rectangular prisms. So, technically speaking, there are multiple rectangular prisms you can create with 48 cubes and a height of 4 cubes.
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To determine the number of rectangular prisms that can be formed using exactly 36 cubes, we need to find all the possible combinations of dimensions that can multiply to give 36. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. Each factor corresponds to a unique rectangular prism. Therefore, there are 9 different rectangular prisms that can be formed using exactly 36 cubes.
To find the number of different rectangular prisms that can be built using 18 unit cubes, we need to determine the possible dimensions ( (l, w, h) ) such that ( l \times w \times h = 18 ), where ( l ), ( w ), and ( h ) are positive integers. The factor combinations of 18 are: ( (1, 1, 18) ), ( (1, 2, 9) ), ( (1, 3, 6) ), ( (2, 3, 3) ), and their permutations. Counting unique arrangements, there are a total of 6 distinct rectangular prisms that can be formed.
To determine the number of different rectangular prisms that can be made with 10 cm cubes, we need to consider the dimensions of each prism. A rectangular prism has three dimensions: length, width, and height. Since each side of the prism can be made up of multiple cubes, we need to find all the possible combinations of dimensions that can be formed using 10 cm cubes. This involves considering factors such as the number of cubes available and the different ways they can be arranged to form unique rectangular prisms.
To determine the number of different rectangular prisms that can be made using exactly 12 cubes, we need to find all the possible combinations of dimensions that result in a volume of 12. The factors of 12 are 1, 2, 3, 4, 6, and 12. Each factor represents a possible dimension for the rectangular prism. Therefore, there are 6 different rectangular prisms that can be made using exactly 12 cubes.
They are all called cuboids or hexahedra. There are no names that give more details about the prisms' structure.
There are many options: 2 rectangular prisms 2 cubes 2 parallelepipeds 2 tetrahedrons 2 square based pyramids are some possibilities using convex polyhedra.
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