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.
To find the volume of a rectangular prism, you multiply the height, length, and width together.
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 = height x length x width
Volume = (11/3) x (13/6) x (3/2)
Volume = (143/18) in^3
To simplify the fraction:
Volume = 7 11/18 in^3
Therefore, the volume of the rectangular prism is 7 11/18 cubic inches.
are u sure
Let's double-check the calculation:
Height: 3 2/3 = 11/3
Length: 2 1/6 = 13/6
Width: 1 1/2 = 3/2
Volume = height x length x width
Volume = (11/3) x (13/6) x (3/2)
Volume = (143/18)
Volume = 7.94444
Rounded to the nearest whole number, the volume of the rectangular prism is approximately 8 cubic inches.
the answer is supposed to be a mixed number
My apologies for the oversight. Let's convert the result to a mixed number.
The volume of the rectangular prism is 7 11/18 cubic inches.