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?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. mc011-1.jpgArionna is correct because there are 3 feet in a yard and there are 3 dimensions in a cubic yard: length, depth, and height. mc011-2.jpgArionna 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.Arionna is incorrect. There are 27 cubic feet in a cubic yard because a cubic yard is a prism with dimensions 3 ft mc011-3.jpg 3 ft mc011-4.jpg 3 ft. A prism with those dimensions will take 27 cubes to fill it if each cube is a unit cube of 1 ft.
Accepted Solution
A:
we know that 1 yd------------> is equals to 3 ft so 1 yd³----------> is equals to (3 ft)³-----> 3*3*3 ft³------> 27 ft³
therefore
the answer is the option Arionna is incorrect. There are 27 cubic feet in a cubic yard because a cubic yard is a prism with dimensions 3 ft x 3 ft x 3 ft. A prism with those dimensions will take 27 cubes to fill it if each cube is a unit cube of 1 ft.