Question
Use cubes with fractional edge lengths to find the volume of the right rectangular prism.
4/7 3/7 2/7
4/7 3/7 2/7
Answers
GPT 3.5
To find the volume of a right rectangular prism, we multiply its three dimensions: length, width, and height.
Given the edge lengths of the cube as fractions, we can represent the dimensions of the right rectangular prism as follows:
Length = 4/7
Width = 3/7
Height = 2/7
To find the volume, we multiply these fractions together:
Volume = (4/7) * (3/7) * (2/7)
To simplify this product, we multiply the numerators and denominators together separately:
Volume = (4 * 3 * 2) / (7 * 7 * 7)
Multiplying the numerators (4 * 3 * 2) gives us 24, and multiplying the denominators (7 * 7 * 7) gives us 343.
Therefore, the volume of the right rectangular prism is 24/343.
Given the edge lengths of the cube as fractions, we can represent the dimensions of the right rectangular prism as follows:
Length = 4/7
Width = 3/7
Height = 2/7
To find the volume, we multiply these fractions together:
Volume = (4/7) * (3/7) * (2/7)
To simplify this product, we multiply the numerators and denominators together separately:
Volume = (4 * 3 * 2) / (7 * 7 * 7)
Multiplying the numerators (4 * 3 * 2) gives us 24, and multiplying the denominators (7 * 7 * 7) gives us 343.
Therefore, the volume of the right rectangular prism is 24/343.