2.
The length cm) of an edge of a cube is proportional to the cube root of its mass
(m grams). It is known that if I = 15, then m - 125.
Let k be the constant of proportionality.
Write down the relationship between l, m and k.
Answers
Given : The length l cm of an edge of a cube is proportional to the cube root of its mass (m grams). if I = 15, then m - 125.
k be the constant of proportionality
To find : the relationship between l, m and k.
Solution:
l ∝ ∛m
l = k∛m
I = 15, then m - 125.
=> 15 = k∛125
=> 15 = k (5)
=> 3 = k
=> l = 3∛m
l³ = 27 m
Additional Info :
Direct variation if a variable increases then other variable also increases with a constant factor y = kx
inverse variation if a variable increases then other variable decreases with a constant factor xy = k
Joint variation is a relationship between atleast three variables, where one variable varies directly with all other variables.
y = kxz
Combined Variation is a relationship between three or more variables where it is in direct variation with few variable and in inverse variation with other variable y = kx/z
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