Question

What is the surface area to volume ratio of this cube

Answer 1

The edge of the cube is 5 cm.
The volume of the cube is  (5cm) · (5 cm) · (5 cm)  =  (5 cm)³  =  125 cm³

The cube has 6 faces.
The area of each face is  (5 cm) · (5 cm)  =  25 cm²
The area of all 6 faces is  (6) · (25 cm²)  =  150 cm²

The ratio of its volume to its surface area is
the ratio of

                             (125 cm³)  to  (150 cm²)

                       =          5/6  cm⁻¹  .