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
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) x (1 1/2) x (3 2/3)
First, convert the mixed numbers to improper fractions:
2 1/6 = 13/6
1 1/2 = 3/2
3 2/3 = 11/3
Now, multiply these fractions:
(13/6) x (3/2) x (11/3) = 429/12 = 35 9/12
Convert the improper fraction back to a mixed number:
35 9/12 = 35/12 = 2 11/12
Therefore, the volume of the rectangular prism is 2 11/12 cubic inches.
are you sure
I made a mistake in my calculation. Let me correct it:
Given:
Height = 3 2/3 inches = 11/3 inches
Length = 2 1/6 inches = 13/6 inches
Width = 1 1/2 inches = 3/2 inches
Volume = Height x Width x Length
Volume = (11/3) x (3/2) x (13/6)
Volume = (143/18) = 7 17/18 cubic inches
Therefore, the correct volume of the rectangular prism is 7 17/18 cubic inches.
now are you sure
Let's try the calculation again just to double-check:
Given:
Height = 3 2/3 inches = 11/3 inches
Length = 2 1/6 inches = 13/6 inches
Width = 1 1/2 inches = 3/2 inches
Volume = Height x Width x Length
Volume = (11/3) x (3/2) x (13/6)
Volume = (143/36) = 3 23/36 cubic inches
Therefore, the correct volume of the rectangular prism is 3 23/36 cubic inches.
so what is the answer
The correct volume of the rectangular prism with a height of 3 2/3 inches, a length of 2 1/6 inches, and a width of 1 1/2 inches is:
3 23/36 cubic inches.