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.(1 point)
in.3
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 the mixed numbers to improper fractions:
Volume = (13/6) * (3/2) * (11/3)
Now multiply the fractions together:
Volume = (13/6) * (3/2) * (11/3)
Volume = (13 * 3 * 11) / (6 * 2 * 3)
Volume = 429 / 36
Volume = 11 13/36 cubic inches
Therefore, the volume of the rectangular prism is 11 13/36 cubic inches.