Sarah has a solid wooden cube with a length of 4/5 centimeter. from eaxh of its 8 corners, she cuts out a smaller cube with a length of 1/5 centimeter. what is the volume of the block after cutting out the smaller cubes?

First, calculate for the volume of the cube before each edges are cut.
                                    V = e³
where e is the length of each sides. Substituting the known value,
                                   V = (4/5 cm)³ = 0.512 cm³

Then, calculate for the volume of each of the small cubes cut out from the corners.
                                   V = (1/5 cm)³ = 0.008 cm³
Since there are 8 of these small cube, we multiply the volume by 8.
                                       8V = 8(0.008 cm³) = 0.064 cm³

Then, subtracting the volumes will give us an answer of 0.448 cm³