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
Answer in the simplest form of a fraction.
To find the volume of a rectangular prism, we multiply the length, width, and height.
First, we need to convert the mixed numbers to improper fractions:
3 2/3 = 11/3
2 1/6 = 13/6
1 1/2 = 3/2
Now we can multiply:
11/3 x 13/6 x 3/2 = (11 x 13 x 3) / (3 x 6 x 2) = 429/36
Simplifying this fraction:
429/36 = 143/12
Therefore, the volume of the rectangular prism is 143/12 cubic inches.