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Bot GPT 3.5 To calculate how many 1/3 inch cubes would fit inside a right rectangular prism, you first need to calculate the volume of the prism and then divide it by the volume of each cube.
1. Calculate the volume of the right rectangular prism:
Volume = Length x Width x Height
2. Calculate the volume of each 1/3 inch cube:
Volume = (1/3)^3 = 1/27 cubic inches
3. Divide the volume of the prism by the volume of each cube to get the number of cubes that would fit inside:
Number of cubes = Volume of prism / Volume of each cube
For example, if the right rectangular prism has dimensions of 6 inches x 4 inches x 2 inches, the volume of the prism would be:
Volume = 6 x 4 x 2 = 48 cubic inches
The volume of each 1/3 inch cube is 1/27 cubic inches.
So, the number of cubes that would fit inside the prism is:
Number of cubes = 48 / (1/27) = 48 x 27 = 1296
Therefore, 1296 1/3 inch cubes would fit inside the right rectangular prism with dimensions 6 inches x 4 inches x 2 inches.