Answer :
Final answer:
The volume of the plastic container is 119 cubic inches. The volume of Jody's plastic container is calculated by multiplying the length (8 ½ inches), width (4 inches), and height (3 ½ inches). After converting mixed numbers to improper fractions, the volume is found to be 119 cubic inches, which is option (a).
Explanation:
The volume of a rectangular prism is found by multiplying its length, width, and height. For Jody’s plastic container, which has dimensions of 8 ½ inches long, 4 inches wide, and 3 ½ inches high, the calculation to find the volume is as follows:
- Convert the mixed numbers to improper fractions: 8 ½ inches is equivalent to ⅗/2 inches, and 3 ½ inches is equivalent to ⅗/2 inches.
- Multiply the lengths: ⅗/2 inches × 4 inches × ⅗/2 inches.
- Calculate the product: (17 × 4 × 7) / (2 × 1 × 2) cubic inches = 476/4 cubic inches = 119 cubic inches.
Therefore, the volume of the plastic container is 119 cubic inches, which corresponds to option (a).
