The orthohedron: Surface area and volume

The orthohedron is a figure with six faces similar to the cube, but with the rectangular faces (two rectangles as sides $a$ and $b$, two as sides $a$ and $c$, and two as sides $c$ and $b$)

image/svg+xml b a D c

The diagonal $D$ will be also obtained by applying Pythagoras twice: $$D=\sqrt{a^2+b^2+c^2}$$

The area and volume will be: $$A=2(ab+ac+bc) \\ V=a \cdot b \cdot c$$

Practice exercises