Final answer:
The ribbon is long enough to cover the boundary of the box.
The answer is (a) Yes.
Step-by-step explanation:
To determine if Neha's 65 cm long ribbon is long enough to cover the boundary of the box, we need to calculate the total perimeter of the box. The box has three identical dimensions of 7 cm each, so the perimeter is 3 x 7 cm = 21 cm. Since the ribbon is 65 cm long, which is greater than the perimeter of the box, the ribbon is long enough to cover the boundary of the box.
The question being asked is whether Neha's 65 cm long ribbon is enough to cover the boundary of a box with dimensions 7 cm by 7 cm by 7 cm. To determine if the ribbon is long enough, we need to calculate the perimeter of the box, which is the total length around the box. Since the box is cubic with all sides being equal, each face of the box is a square with a perimeter of 4 times the side length.
To find the total boundary length that the ribbon needs to cover, we calculate the perimeter of one face and multiply it by the number of faces the ribbon will cover, which is 4 (since we usually don't cover the top and bottom of a box).
The perimeter of one face is 4 × 7 cm = 28 cm. A cubic box has 4 equal sides that we will cover, so we need a ribbon that is 4 × 28 cm = 112 cm long at minimum. Since Neha has only a 65 cm ribbon, it is not long enough. So, the correct answer is (b) No.