Final answer:
To find the volume of the carton, multiply the length, width, and height after converting them to improper fractions. The volume is found to be 6 1/2 cubic feet (or 6.5 cubic feet in decimal), which is not listed among the options provided.
Step-by-step explanation:
The student is asking about the volume of a cartoon, which may be a typo for 'carton'. To find the volume, we need to multiply the length, width, and height. The length is 2 1/6 feet, the width is 1 1/5 feet, and the height is 2 1/2 feet. These fractional values need to be converted to improper fractions before multiplication.
- Length: 2 1/6 = 13/6 feet
- Width: 1 1/5 = 6/5 feet
- Height: 2 1/2 = 5/2 feet
To calculate the volume, we multiply these together:
Volume = (13/6) x (6/5) x (5/2)
Volume = 13/6 x 6/5 x 5/2 feet3
Now, we can cancel out the common factors:
Volume = 13/1 x 1/1 x 1/2 feet3
Volume = 13/2 feet3
Converted into a mixed number, the volume is 6 1/2 feet3 (or 6.5 feet3 in decimal).
Seeing the options provided, none of the choices match the correct answer of 6 1/2 cubic feet. If the question meant 'carton' and not 'cartoon', then the correct answer is not listed among the options given [(a) 43/30 cubic feet (b) 11/15 cubic feet (c) 17/12 cubic feet (d) 19/10 cubic feet].