+1 vote

+1 vote

Given a cube of 8 m3, the side of the cube is 2 m.

The octahedron is made up of two(2) cuadrangular pyramides

The volume of a pyramide is calculated as follows: ( area of base x heigth) / 3

Then, the side of the base is Sqrt 2 and height 1

Area of base equals : (sqrt 2)^2 =2

Volume of pyramide : ( 2 x 1) / 3

Volume of two pyramides = volume of octahedron : 2 X 2/3 = 4/3 m3

The answer is 4/3 m3

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