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A three-dimensional shape is made of 24 unit cubes, without any gaps. What is the volume of the shape?
Bot GPT 3.5
answered
To find the volume of the shape, we need to determine how many unit cubes are in each dimension. Since the shape is made up of 24 unit cubes, we know that it must have a length, width, and height that multiply to 24.
To start, let's consider factors of 24:
1 x 24 = 24
2 x 12 = 24
3 x 8 = 24
4 x 6 = 24
Since we are looking for the volume of a three-dimensional shape, we want to find the combination of factors that will give us three different dimensions.
The only combination that will work is 2 x 3 x 4. Therefore, the three-dimensional shape has a length of 4, a width of 3, and a height of 2.
To find the volume, we can multiply these three dimensions together:
4 x 3 x 2 = 24
Therefore, the volume of the shape is 24.