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:
If F = 5cm^3
G = 40cm^3
then the ratio of volumes is 1:8 = 1:2^3
so the linear ratio is 1:2
so the surface ratio is 1:2^2 = 1:4
If the absorption is proportional to the surface area, then G would absorb 4 times the amount of F.
Since G has 8 times the volume, it would have 1/8 the concentration
a. To determine the ratio of volumes and surface areas for a frog, we need to compare the volumes and surface areas of Frog F and Frog G.
First, let's calculate the volume of Frog F and Frog G. The formula for volume is V = L^3, where L is the length of one side of the cube.
For Frog F:
Volume (Frog F) = 5 cm^3
For Frog G:
Volume (Frog G) = 40 cm^3
Now, let's calculate the surface area of Frog F and Frog G. The formula for surface area is A = 6L^2.
For Frog F:
Surface Area (Frog F) = 6(5 cm^2) = 30 cm^2
For Frog G:
Surface Area (Frog G) = 6(40 cm^2) = 240 cm^2
Therefore, the ratios of volumes and surface areas for Frog F and Frog G are as follows:
Ratio of Volumes: Frog F : Frog G = 5 cm^3 : 40 cm^3 = 1:8
Ratio of Surface Areas: Frog F : Frog G = 30 cm^2 : 240 cm^2 = 1:8
b. To determine how much Frog G would absorb if Frog F absorbs 0.015 mL of the toxin, we can use the ratio of volumes.
Given that the volume of Frog F is 5 cm^3 and the volume of Frog G is 40 cm^3, we can set up a proportion:
Volume of Frog F / Volume of Frog G = Amount absorbed by Frog F / Amount absorbed by Frog G
Solving for the amount absorbed by Frog G:
Amount absorbed by Frog G = (Amount absorbed by Frog F) * (Volume of Frog G / Volume of Frog F)
Amount absorbed by Frog G = 0.015 mL * (40 cm^3 / 5 cm^3)
Amount absorbed by Frog G = 0.12 mL
Therefore, Frog G would absorb 0.12 mL of the toxin.
c. To determine the concentration of the toxin for Frog F and Frog G, we need to divide the amount of toxin absorbed by each frog by their respective volumes.
For Frog F:
Concentration of Frog F = Amount absorbed by Frog F / Volume of Frog F
For Frog G:
Concentration of Frog G = Amount absorbed by Frog G / Volume of Frog G
Using the given values:
Concentration of Frog F = 0.015 mL / 5 cm^3
Concentration of Frog G = 0.12 mL / 40 cm^3
Note: The resulting concentrations will depend on the specific units used for volume and amount absorbed.