7. A builder cuts a 6 m rope into four pieces. Three of the pieces measure 1.2 m, 1.5 m, and 2.7 m. What is the length of the remaining piece?
Answer: A
The length of the remaining piece is 0.6 m.
To find the length of the remaining piece of rope, we need to subtract the lengths of the three known pieces from the total length of the rope. The total length of the rope is 6 m, and the sum of the three pieces (1.2 m + 1.5 m + 2.7 m) is 5.4 m. Therefore, the remaining piece measures 0.6 m.
A) 0.6 m
This option is correct because when we add the lengths of the three pieces (1.2 m + 1.5 m + 2.7 m), we get 5.4 m. Subtracting this from the total length of the rope (6 m) gives us 0.6 m, which is the length of the remaining piece.
B) 6 m
This option is incorrect as it suggests that the remaining piece is equal to the total length of the rope. Since the rope is cut into four pieces, the remaining piece cannot be the same length as the original rope.
C) 60 m
This option is incorrect because it presents a length that is significantly greater than the total length of the rope. It is not possible for any piece to exceed the total length of the rope, which is 6 m.
D) 600 m
This option is also incorrect as it suggests an unrealistic length that far exceeds the original 6 m rope. No piece can be longer than the total length of the material available.
Conclusion
The correct answer is 0.6 m, as it accurately reflects the remaining length after accounting for the lengths of the other pieces. All other options misinterpret the problem by either suggesting lengths that are not feasible based on the total length of the rope or are simply incorrect calculations.