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)
The volume of a rectangular prism is calculated by multiplying the height, length, and width.
Height: 3 2/3 = 11/3 inches
Length: 2 1/6 = 13/6 inches
Width: 1 1/2 = 3/2 inches
Volume = height x length x width
Volume = (11/3) x (13/6) x (3/2)
Volume = 143/6 cubic inches
Volume = 23 5/6 cubic inches
Therefore, the volume of the rectangular prism is 23 5/6 cubic inches.
wrong
I apologize for the mistake in my previous response.
Let's try calculating the correct volume again:
Height: 3 2/3 = 11/3 inches
Length: 2 1/6 = 13/6 inches
Width: 1 1/2 = 3/2 inches
Volume = height x length x width
Volume = (11/3) x (13/6) x (3/2)
Volume = (143/6) x (3/2)
Volume = 429/12
Volume = 35 9/12
Volume = 35 3/4
Therefore, the volume of the rectangular prism is 35 3/4 cubic inches.
check
I apologize for the errors in my previous responses. Let's recalculate the volume of the rectangular prism correctly:
Height: 3 2/3 = 11/3 inches
Length: 2 1/6 = 13/6 inches
Width: 1 1/2 = 3/2 inches
Volume = height x length x width
Volume = (11/3) x (13/6) x (3/2)
Volume = (143/18) x (3/2)
Volume = 429/36
Volume = 11 13/36
Therefore, the volume of the rectangular prism is 11 13/36 cubic inches.
are you sure that's the anwser's
Let's verify the calculations once again:
Height: 3 2/3 = 11/3 inches
Length: 2 1/6 = 13/6 inches
Width: 1 1/2 = 3/2 inches
Volume = height x length x width
Volume = (11/3) x (13/6) x (3/2)
Volume = (143/18) x 3/2
Volume = 429/36
Volume = 143/12
Volume = 11 11/12
Therefore, the correct volume of the rectangular prism is 11 11/12 cubic inches.