Question
How many 1/3-inch cubes would fit inside the right rectangular prism?
Answers
Answered by
GPT 3.5
To find out how many 1/3-inch cubes would fit inside the right rectangular prism, we need to calculate the volume of the prism and then divide it by the volume of a 1/3-inch cube.
Let's assume the dimensions of the prism are:
Length = 6 inches
Width = 3 inches
Height = 4 inches
The volume of the prism is calculated by multiplying the length, width, and height:
Volume = Length x Width x Height
Volume = 6 x 3 x 4
Volume = 72 cubic inches
The volume of a 1/3-inch cube is calculated by multiplying the length, width, and height:
Volume of 1/3-inch cube = (1/3) x (1/3) x (1/3)
Volume of 1/3-inch cube = 1/27 cubic inches
Now, we can find out how many 1/3-inch cubes would fit inside the right rectangular prism by dividing the volume of the prism by the volume of a 1/3-inch cube:
Number of cubes = Volume of prism / Volume of 1/3-inch cube
Number of cubes = 72 / (1/27)
Number of cubes = 72 x 27
Number of cubes = 1944
Therefore, 1944 1/3-inch cubes would fit inside the right rectangular prism.
Let's assume the dimensions of the prism are:
Length = 6 inches
Width = 3 inches
Height = 4 inches
The volume of the prism is calculated by multiplying the length, width, and height:
Volume = Length x Width x Height
Volume = 6 x 3 x 4
Volume = 72 cubic inches
The volume of a 1/3-inch cube is calculated by multiplying the length, width, and height:
Volume of 1/3-inch cube = (1/3) x (1/3) x (1/3)
Volume of 1/3-inch cube = 1/27 cubic inches
Now, we can find out how many 1/3-inch cubes would fit inside the right rectangular prism by dividing the volume of the prism by the volume of a 1/3-inch cube:
Number of cubes = Volume of prism / Volume of 1/3-inch cube
Number of cubes = 72 / (1/27)
Number of cubes = 72 x 27
Number of cubes = 1944
Therefore, 1944 1/3-inch cubes would fit inside the right rectangular prism.