An illustration with 6 cubes packed in a right rectangular prism. If the edge of each cube measures 1/3 an inch. The cubes are arranged that there are 3 columns and 2 rows, 2 cubes in each column. What is the volume of the whole rectangular prism?
The total number of cubes is 6, arranged in 3 columns and 2 rows, with 2 cubes in each column. This means the rectangular prism has a length of 2 cubes, a width of 3 cubes, and a height of 1 cube.
The edge of each cube is 1/3 inch. Therefore, the length of the rectangular prism is:
2 cubes x (1/3 inch/cube) = 2/3 inch
The width of the rectangular prism is:
3 cubes x (1/3 inch/cube) = 1 inch
The height of the rectangular prism is:
1 cube x (1/3 inch/cube) = 1/3 inch
The volume of the rectangular prism is:
(2/3 inch) x (1 inch) x (1/3 inch) = 2/9 cubic inches.
Therefore, the volume of the whole rectangular prism is 2/9 cubic inches.
*sigh* still wrong
I apologize for the error in my previous response. Let me attempt to solve this correctly.
Each cube has an edge of 1/3 inch, so its volume is (1/3)^3 = 1/27 cubic inch.
The 6 cubes are arranged in a 3 by 2 pattern, with 2 cubes in each column. Therefore, the length of the rectangular prism is 2*(1/3) = 2/3 inch, the width is 3*(1/3) = 1 inch, and the height is 1*(1/3) = 1/3 inch.
The volume of the rectangular prism is length x width x height, which gives us:
(2/3) x 1 x (1/3) = 2/9 cubic inch
Therefore, the volume of the whole rectangular prism is 2/9 cubic inch.
To find the volume of the whole rectangular prism, we need to find the length, width, and height of the prism.
In this case, the length of the prism is equal to the combined length of the cubes in a row. Since each cube's edge measures 1/3 inch, the combined length of the cubes in a row is (1/3 inch) * (2 cubes) = 2/3 inch.
The width of the prism is equal to the combined width of the cubes in a column. Again, each cube's edge measures 1/3 inch, so the combined width of the cubes in a column is (1/3 inch) * (3 columns) = 1 inch.
The height of the prism is equal to the height of a single cube, which is also 1/3 inch.
Now that we have the length, width, and height of the rectangular prism, we can calculate its volume by multiplying these three dimensions together.
Volume = length * width * height
Volume = (2/3 inch) * (1 inch) * (1/3 inch)
Volume = 2/9 cubic inches
Therefore, the volume of the whole rectangular prism is 2/9 cubic inches.