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tino4ka555 [31]
3 years ago
11

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

Mathematics
2 answers:
alexira [117]3 years ago
7 0

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

Mkey [24]3 years ago
5 0

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

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