Question

Rebecca brought a jewelry box in the shape of an octagon. She wants to put a net over the lateral faces of the box. Find the lateral area of the jewelry box. (JUSTIFY)

Answer 1

Draw the 8 segments from the center to each vertex. 8 congruent triangles are formed each with base angles 62.5

In each, the perpendicular height from center to edge is found as 1/cos(62.5)= 1.92

The area of the octogon is 15.36

The total surface area is then 95.36 not counting the bottom

Explanation: