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.
(fraction problem)
To find the volume of a rectangular prism, you multiply the length, width, and height together.
Volume = length x width x height
Given:
Length = 2 1/6 in = 13/6 in
Width = 1 1/2 in = 3/2 in
Height = 3 2/3 in = 11/3 in
Volume = (13/6) x (3/2) x (11/3)
Volume = (13 x 3 x 11) / (6 x 2 x 3)
Volume = 429 / 36
Volume = 11 13/36 cubic inches
Therefore, the volume of the rectangular prism is 11 13/36 cubic inches.
is that wrong
I apologize for the error in my previous response. Let's correct it.
Given:
Length = 2 1/6 in = 13/6 in
Width = 1 1/2 in = 3/2 in
Height = 3 2/3 in = 11/3 in
To find the volume:
Volume = length x width x height
Volume = (13/6) x (3/2) x (11/3)
Volume = (13 x 3 x 11) / (6 x 2 x 3)
Volume = 429 / 36
Volume = 11 13/36 cubic inches
However, the volume should be simplified to its simplest form.
11 13/36 can be simplified by dividing both the numerator and denominator by the greatest common factor, which is 36 in this case:
11 13/36 = 11 1/3
Therefore, in simplest form, the volume of the rectangular prism is 11 1/3 cubic inches. Thank you for catching that mistake.