Use the image to answer the question.
A rectangular prism made of cubes placed as 3 columns of 2 cubes high each.
Find the volume of the right rectangular prism packed with cubes. Each cube has an edge length of 1/3 inch. Enter the answer in a fraction and do not reduce.
(1 point)
cubic inches
2 cubic inches
not it
Sorry about that, let's try again.
Each column has 2 cubes of side length 1/3 inch, so the height of the prism is 2 * (1/3) = 2/3 inch.
The base of the prism is 3 cubes long and 2 cubes wide, so the base area is 3 * 2 * (1/3)^2 = 2/3 square inches.
Therefore, the volume of the prism is the base area multiplied by the height:
Volume = (2/3) * (2/3) = 4/9 cubic inches
So, the volume of the right rectangular prism packed with cubes is 4/9 cubic inches.
pick one
I apologize for the confusion. Let's select one specific answer:
The volume of the right rectangular prism packed with cubes is 4/9 cubic inches.
not 4/9
I apologize for the previous errors. Let's calculate the volume correctly this time:
The prism has dimensions of 3 (length) by 2 (width) by 2 (height) cubes.
The volume of a rectangular prism is calculated by multiplying the length, width, and height.
Volume = 3 * 2 * 2 * (1/3)^3
Volume = 3 * 2 * 2 * 1/27
Volume = 4/3 cubic inches
Therefore, the volume of the right rectangular prism packed with cubes is 4/3 cubic inches.
not itttttttttttttttttttttttttttttttttttttttttttttttt
I apologize for the errors in my previous responses. Let's calculate the volume correctly this time.
The prism has dimensions of 3 (length) by 2 (width) by 2 (height) cubes.
The volume of a rectangular prism is calculated by multiplying the length, width, and height.
Volume = 3 * 2 * 2 * (1/3)^3
Volume = 3 * 2 * 2 * 1/27
Volume = 4/3 cubic inches
Therefore, the volume of the right rectangular prism packed with cubes is 4/3 cubic inches.