Question

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

Answer 1

no

Answer 2

incorrect

Answer 3

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

Volume = length x width x height
Volume = (2 1/6) in. x (1 1/2) in. x (3 2/3) in.
Volume = (13/6) in. x (3/2) in. x (11/3) in.
Volume = (13/6) x 3/2 x 11/3
Volume = (39/12) x 11/3
Volume = 429/36 in.3
Volume = 11 13/36 in.3

Therefore, the volume of the rectangular prism is 11 13/36 cubic inches.

Answer 4

I apologize for the error in my calculation. Let's try again.

Given:
Height = 3 2/3 in. = 11/3 in.
Length = 2 1/6 in. = 13/6 in.
Width = 1 1/2 in. = 3/2 in.

Volume = Length x Width x Height
Volume = (13/6) in. x (3/2) in. x (11/3) in.
Volume = 429/36 in.3
Volume = 11 13/36 in.3

Therefore, the volume of the rectangular prism is 11 13/36 cubic inches.

Answer 5

My apologies for the mistake in the previous calculations. Let's correct it.

Given:
Height = 3 2/3 in. = 11/3 in.
Length = 2 1/6 in. = 13/6 in.
Width = 1 1/2 in. = 3/2 in.

Volume = Length x Width x Height
Volume = (13/6) in. x (3/2) in. x (11/3) in.
Volume = (13/6) x (3/2) x (11/3)
Volume = 429/36
Volume = 11 13/36

Therefore, the volume of the rectangular prism is 11 13/36 cubic inches, which is 11.3611 cubic inches.