the length ( L cm) of an edge of a cube is proportional to the cube root of its mass ( M grams).It is known that if L= 15, then M=125. let K be the constant of variation.
CALCULATE THE VALUE OF K
L = K∛M
15 = K∛125
15 = K*5
3 = K
L = k m^(1/3)
15 = k (125)^(1/3) = k (5)
k = 3
The length (lcm)of an edge of cube is directly proportional to the cube root of it's mass (ingrams)it's known if l=15 then m=125
Write down the relation ship between l,m,k
To calculate the value of K, we can use the given information that L cm is proportional to the cube root of M grams.
We know that in a proportional relationship, the ratio between the two variables remains constant. Therefore, we can set up the following equation using the values given:
L = K * ∛M
Now we can substitute the given values of L = 15 cm and M = 125 grams into the equation and solve for K.
15 = K * ∛125
First, let's find the cube root of 125:
∛125 = 5
Substituting this value back into the equation:
15 = K * 5
Now we can solve for K:
K = 15 / 5
K = 3
Therefore, the value of K is 3.