What is the volume, in cubic inches, of a 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? Your answer should be a mixed number and in simplest form.
To find the volume of a rectangular prism, you multiply the length, width, and height.
Volume = length x width x height
Volume = (2 1/6) x (1 1/2) x (3 2/3)
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.
That is incorrect.
Let's correct the calculation:
Volume = (2 1/6) x (1 1/2) x (3 2/3)
Volume = (13/6) x (3/2) x (11/3)
Volume = (13 x 3 x 11) / (6 x 2 x 3)
Volume = 429 / 36
To simplify this fraction:
429 = 11 x 39 + 3
36 = 11 x 3 + 3
So, 429/36 = 11 3/36 = 11 1/12
The volume of the rectangular prism is 11 1/12 cubic inches.
Still incorrect. Is it in simplist form?
I apologize for the mistake. Let's simplify the fraction further:
429 ÷ 36 = 11 with a remainder of 33
Therefore, 429 ÷ 36 = 11(33/36)
33 and 36 can both be divided by 3:
11(11/12)
The volume of the rectangular prism in simplest form is 11(11/12) cubic inches.