Question

Calculate the ratio of surface area to volume of an imaginary cubic cell measuring 4mm long on each side

Answer 1

Answer:

3/2

Step-by-step explanation:

surface area = (2×base) +( height×base perimeter )

                     = (2×(4×4)) +( 4×(4×4) )

                     = 32 + 64

                     = 96 mm

volume = side³

             = 4³

             = 64 mm

the ratio of surface area to volume = 96/64 = 3/2

Answer 2

Step-by-step explanation:

Surface area of cubic cell

$= 6(side)^{2} \\ = 6 \times {4}^{2} \\ = 6 \times 16 \\ = 96 \: {mm}^{2} \\ \\ volume \: of \:cubic \: cell \\ = {(side)}^{3} \\ = {4}^{3} \\ = 64 \: {mm}^{3}$

Ratio of surface area to volume of imaginary cubic cell

$= \frac{96}{64}\\ = \frac{3}{2}\\=3 : 2$