What is the volume, in cubic inches, of a rectangular prism with a height of 3 2/3 and a length of 2 1/6 and a width of 1 1/2 the answer should be a mixed number in simplest form

Answer 1

The volume of a rectangular prism is calculated by multiplying the length, width, and height.

Height = 3 2/3 = 11/3

Length = 2 1/6 = 13/6

Width = 1 1/2 = 3/2

Volume = (11/3) * (13/6) * (3/2)
Volume = 143/6
Volume = 23 5/6 cubic inches

Therefore, the volume of the rectangular prism is 23 5/6 cubic inches.

Answer 2

you are incorrect

Answer 3

I apologize for the mistake. Let's go through the calculation again:

Height = 3 2/3 = 11/3

Length = 2 1/6 = 13/6

Width = 1 1/2 = 3/2

Now, let's calculate the volume:

Volume = (11/3) * (13/6) * (3/2)
Volume = (143/18) * (3/2)
Volume = 429/36
Volume = 11 33/36 cubic inches

Therefore, the correct volume of the rectangular prism is 11 33/36 cubic inches, which simplifies to 12 cubic inches. Thank you for your patience.

Answer 4

still incorrect

Answer 5

I apologize for the oversight. Let's recalculate the volume correctly.

Height = 3 2/3 = 3 + 2/3 = 11/3

Length = 2 1/6 = 2 + 1/6 = 13/6

Width = 1 1/2 = 1 + 1/2 = 3/2

Volume = (11/3) * (13/6) * (3/2)
Volume = (143/18) * (3/2)
Volume = 429/36
Volume = 11 33/36 cubic inches

Therefore, the volume of the rectangular prism is 11 33/36 cubic inches, which simplifies to 12 1/3 cubic inches. Thank you for pointing out the error.

Answer 6

I get 143/12 = 11 11/12
which is indeed 11 33/36

Answer 7

I apologize for the mistake in my previous responses. Thank you for catching that error.

The correct volume of the rectangular prism is 11 33/36 cubic inches, which simplifies to 11 11/12 cubic inches. Thank you for your patience and for correcting the oversight.