No. Each piece of the cube would have the same density.
corresponding and alternate angles
54
Yes.
An infinite number. Any parallelogram can be cut in half by a line parallel to one of its sides to increase the number by one. And there is no end to that process.
It depends which orientation the cube has to the cake and which shape the cake is. However, assuming you meant a cube shaped cake was cut parallel to its base: It will be a cuboid.
No. Each piece of the cube would have the same density.
It would be a wooden cube that has been cut in half and painted red.
One which shows a cross-section of the object it represents, i.e. as if that object had been cut across. . For example, if you have a steel cube with a hole drilled across it from the centre of one face to the centre of that opposite, you would not see the hole if you view the cube from another side. If however you were to saw the cube in half across the diameter of the hole, each half-cube would have a semi-circular channel across the cut face. A sectional drawing would represent that cut face, with the half-hole depicted as two parallel lines.
No, a cut cannot be made between two parallel sides of an isosceles trapezoid to create two isosceles trapezoids. An isosceles trapezoid has only one pair of parallel sides, so cutting between them would result in two separate shapes, neither of which would be an isosceles trapezoid. The resulting shapes would likely be irregular quadrilaterals or triangles, depending on the location of the cut.
Set cube with front and back parallel and sides perpendicular to you. Cut diagonally though the flat top and bottom.
A hexagon.
You would cut off a corner.
You will get a rectangular prisim
triangle
Yes they are. Basically you can think of an isoceles trapezoid as an isoceles triangle with the top cut off parallel with the base.
When the top section of an isosceles triangle is cut away parallel to its base it then becomes an isosceles trapezoid.