To determine the question use Frogs F and G are 5cm to cube and 40cm to cube.
a. Ratio
What are ratio volumes and surface areas for a frog? (The formula for figuring out this data A correlation V square=2/3
Ratio Volumes: Surface areas:
b. Toxin
Let us say that Frog F absorbs 0.015 mL of a certain toxin, then how much would Frog G absorb? mL.
c. Concentration
In order to figure out concentration of a toxin amount for the frog we would divide by the volume. What would the concentration be for frog F and frog G.
Concentration
Frog F:
Frog G:
a. Ratio of Volumes and Surface Areas for a Frog:
To calculate the ratio of volumes and surface areas for Frog F and Frog G, we need to use the given formula: V^2 = (2/3)A, where V represents volume and A represents surface area.
1. Ratio of Volumes:
Using the formula V^2 = (2/3)A, we can calculate the ratio of volumes for Frog F and Frog G.
For Frog F: Vf^2 = (2/3)Af
For Frog G: Vg^2 = (2/3)Ag
Taking the square root of both sides, we get:
Vf = √((2/3)Af)
Vg = √((2/3)Ag)
The ratio of volumes is calculated by dividing Vg by Vf:
Ratio of Volumes: Vg/Vf = √((2/3)Ag)/√((2/3)Af)
2. Ratio of Surface Areas:
The ratio of surface areas is equal to the ratio of the squares of the volumes:
Ratio of Surface Areas: (Vg^2)/(Vf^2) = ((2/3)Ag)/((2/3)Af) = Ag/Af
b. Toxin Absorption:
If Frog F absorbs 0.015 mL of a certain toxin, and we assume both frogs have the same absorption rate, then Frog G would also absorb the same amount of toxin:
Toxin absorbed by Frog G = Toxin absorbed by Frog F = 0.015 mL
c. Concentration:
To calculate the concentration of a toxin amount for each frog, we need to divide the absorbed toxin amount by the respective volumes of the frogs.
1. Concentration for Frog F:
Concentration = Toxin absorbed / Volume
For Frog F: Concentration of Frog F = 0.015mL / Vf
2. Concentration for Frog G:
Since the toxin absorption rate is the same for both frogs, the concentration for Frog G will also be the same:
Concentration of Frog G = 0.015mL / Vg