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 together.
Volume = length x width x height
Volume = (2 1/6) x (1 1/2) x (3 2/3)
First, convert all mixed numbers to improper fractions:
2 1/6 = 13/6
1 1/2 = 3/2
3 2/3 = 11/3
Now, multiply the fractions together:
Volume = (13/6) x (3/2) x (11/3)
Volume = (143/12)
Volume = 11 11/12 cubic inches
Therefore, the volume of the rectangular prism is 11 11/12 cubic inches.