A present is to be wrapped using a box, as shown.Question 1Workboarda. If the dimensions of the box are 30 cm long by 25 cm wide by 18 cm high, what is the total length of ribbon that would be needed if the bow used 35 cm of ribbon? (Assume no overlap at the start or finish of the ribbon.) cmSUBMIT (ATTEMPT 1 OF 2)Question 2Workboardb. Write a rule that will allow you to calculate the amount of ribbon required for any rectangular box.(Let 𝑙 represent the length of the box, 𝑤 the width of the box, ℎ the height of the box and 𝑏 the amount for the bow.)Ribbon length =
Question
A present is to be wrapped using a box, as shown.Question 1Workboarda. If the dimensions of the box are 30 cm long by 25 cm wide by 18 cm high, what is the total length of ribbon that would be needed if the bow used 35 cm of ribbon? (Assume no overlap at the start or finish of the ribbon.) cmSUBMIT (ATTEMPT 1 OF 2)Question 2Workboardb. Write a rule that will allow you to calculate the amount of ribbon required for any rectangular box.(Let 𝑙 represent the length of the box, 𝑤 the width of the box, ℎ the height of the box and 𝑏 the amount for the bow.)Ribbon length =
Solution
Question 1:
To calculate the total length of ribbon needed, we need to consider the path the ribbon will take. It will go around the length and width of the box, and then up and over the height of the box to make the bow.
The ribbon will go around the length and width twice (once for each direction), so we need to multiply the sum of the length and width by 2.
So, the ribbon length for the box dimensions = 2 * (Length + Width) = 2 * (30 cm + 25 cm) = 110 cm
Then, we need to add the height of the box because the ribbon goes up and over the box to make the bow.
So, the total ribbon length = ribbon length for the box dimensions + height of the box = 110 cm + 18 cm = 128 cm
Finally, we need to add the length of the ribbon used for the bow.
So, the total length of ribbon needed = total ribbon length + length of the bow = 128 cm + 35 cm = 163 cm
Question 2:
The rule to calculate the amount of ribbon required for any rectangular box would be:
Ribbon length = 2 * (Length + Width) + Height + Bow
Where: Length (l) is the length of the box, Width (w) is the width of the box, Height (h) is the height of the box, and Bow (b) is the amount of ribbon used for the bow.
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