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 length, width, and height.
Volume = (length) x (width) x (height)
Volume = (2 1/6) x (1 1/2) x (3 2/3)
Convert all the mixed numbers to improper fractions:
Volume = (13/6) x (3/2) x (11/3)
Now, multiply the fractions:
Volume = (13/6) x (3/2) x (11/3)
Volume = 13 x 3 x 11 / 6 x 2 x 3
Volume = 429 / 36
Simplify the fraction:
Volume = 429 / 36
Volume = 11 13/36
The volume of the rectangular prism is 11 13/36 cubic inches.