Question

This is a cross-sectional view of candy bar ABC. A candy company wants to create a cylindrical container for candy bar ABC so that it is circumscribed about the candy
bar. If AD = 3 cm, what is the smallest diameter of wrapper that will fit the candy bar? 3cm 4cm 5cm
or 6cm

Answer 1

Answer:

The smallest diameter of wrapper that will fit the candy bar is 6 cm

Step-by-step explanation:

The smallest diameter of the wrapper will have to be the length of the line AC.

We can observe that there are two similar triangles present in the shape there.

We have triangle ADE and triangle DCF

They are similar because their left side, base length, and right angle are equal.

We are given the length of the side AD for triangle ADE.

From the rules of similar triangles, we have that side DC will also equal 3 cm. because the two triangles are similar.

Hence AC will be 3cm + 3cm = 6 cm

The smallest diameter of wrapper that will fit the candy bar is 6 cm