This 8-sided octahedron is a composite figure consisting of 2 square pyramids. the base of the pyramid is 33 mm, and the slant height is 28.6 mm. what is the surface area of the octahedron? this is for 8th grade math

the answer is: 5,953.2 mm²

you have the  8-sided octahedron as a composite figure that has 2 square pyramids. so, you should   apply the formula for the calculated area of a square pyramid as so:   a=s²+2sl

  a is the area of the square pyramid.

  s will be the base of the square pyramid (s = 33 mm).

  l is the slant height of the square pyramid (l = 28.6 mm).

then, when you substitute these values into the formula you get:

  a=s²+2sl

  a=(33 mm)²+2(33 mm)(28.6 mm)

  a=1089 mm²+1887.6 mm²

  a=2,976.6 mm²

thus, the area of the  surface area of the octahedron is:

sa = 2a

sa = 2(2,976.6 mm²)

sa = 5,953.2 mm²

thus the answer will be: 5,953.2 mm²

3775.2mm squared

Step-by-step explanation

You find the area of each side and add all of them together. You divide by 2 for every triangle, and the slant height is never used.