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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.
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Rene
JordanOh, dude, let me break it down for you. So, to make a rectangular prism, you need 6 faces, right? And each face needs at least 2 cubes along its length and width. That's like 2 cubes x 2 cubes = 4 cubes per face. So, 6 faces x 4 cubes = 24 cubes needed for a rectangular prism. With 36 cubes, you can totally make 1 rectangular prism because you have more than enough cubes. Easy peasy!
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Are cubes rectangle prisms?
Cubes are special cases of rectangular prisms.
Are all rectangular prisms cubes?
NO
Are rectangular prisms cubes?
no, but a cube is a rectangular prism... Remember this, a square is a rectangle but a rectangle is never a square!
How many different rectangular prism can be made with 10 cm cubes?
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.
Why does a rectangular prism of 2 unit cubes have 6 faces?
A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges. All rectangular prisms have six faces.
