Problema Solution
The eight segments from the center of a cube to the eight corners of the cube form the edges of six pyramids. If one edge of the cube is 4 in, what is the volume of each pyramid, to the nearest cubic inch?
Answer provided by our tutors
Let 'V' be the volume of one pyramid and a = 4in the lemgth of the side of the cube
since all 6 pyramids are identical they have have same volumes and
6*V = the volume of the cube
6*V = a^3
V = (a^3)/6
V = 4^3/6
V = 64/6
V = 10.67
V = 11 in^3 to the nearest inch