Identify the angle variable to use.
Write an equation.
Solve the equation for the variable.
Find the unknown angle measure.
Let the number total slices = x
He ate (1/4) x
He has x - 1/4 x = 3/4 x slices left.
Each one of these slices is cut into 1/8s
T (total number of slices) = 8 * (3/4x)
T = (8*3/4) x
T = (24/4)x
T = 6x slices.
They diagonal through the interior of the cube is the longest. The hypotenuse is the longest side of a right triangle. The diagonal of the cube is the hypotenuse of a right angle with legs that are diagonal of a face and an edge. The edges are the shortest. They are legs of a right triangle with the diagonal of a face as the hypotenuse.