Question

The tile pattern shown was used in Pompeii for paving. If the diagonals of each rhombus are 2 inches & 3 inches, what area makes up each cube in the pattern?

Answer 1

The tile in Pompeii shows that there are 3 shapes of rhombus in one cube.
A ( rhombus ) = d1 * d2 / 2
d1 = 2 in, d2 = 3 in.
A ( rhombus ) = 2 * 3 / 2 = 3 in²
Finally: 3 * 3 = 9 in²
Answer: Area of each cube in the pattern is 9 in².