asked 154k views
5 votes
An octahedron and its net are shown below. All the faces are the same size and shape. What is the surface area of octahedron? Please answer !!

An octahedron and its net are shown below. All the faces are the same size and shape-example-1

1 Answer

2 votes

Answer: Choice D) 499.2 cm^2

============================================================

Step-by-step explanation:

There are 8 identical triangles shown here (ignore the dashed vertical line). We know they are identical because of the phrasing "same size and same shape". In other words, the triangles are congruent.

Each triangle has base 12 cm and height 10.4 cm

So the area of each triangle is base*height/2 = 12*10.4/2 = 62.4 square cm.

In total, all 8 triangles combine to an area of 8*62.4 = 499.2 square cm which points us to choice D

answered
User Old Markus
by
8.4k points
Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.