. 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.) cm
Question
. 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.) cm
Solution
To find the total length of ribbon needed, we need to calculate the perimeter of the box and add the length of the bow.
Step 1: Calculate the perimeter of the box The box is a rectangular prism, so the perimeter (P) of one face of the box can be calculated using the formula P = 2*(length + width).
Using the given dimensions, the perimeter of one face of the box is 2*(30 cm + 25 cm) = 110 cm.
Step 2: Calculate the total length of ribbon needed to go around the box Since the ribbon goes around the box twice, we multiply the perimeter by 2. So, the total length of ribbon needed to go around the box is 2*110 cm = 220 cm.
Step 3: Add the length of the bow The problem states that the bow uses 35 cm of ribbon. So, we add this to the total length of ribbon needed to go around the box.
220 cm (for the box) + 35 cm (for the bow) = 255 cm.
So, the total length of ribbon needed is 255 cm.
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