Ace Singleton

Mathematics

8 November, 08:55

Arionna claims that since there are 3 feet in a yard, there are 9 cubic feet in a cubic yard. Which statement about her claim is true?

1. Arionna is correct because there are 3 feet across the length of a cubic yard and 3 feet across the depth of a cubic yard.

2. Arionna is correct because there are 3 feet in a yard and there are 3 dimensions in a cubic yard: length, depth, and height.

3. Arionna is incorrect. There are only 3 cubic feet in a cubic yard because there are 3 feet in a yard, and the proportion will remain constant.

4. Arionna is incorrect. There are 27 cubic feet in a cubic yard because a cubic yard is a prism with dimensions 3 ft 3 ft 3 ft. A prism with those dimensions will take 27 cubes to fill it if each cube is a unit cube of 1 ft.