Question

if a varies directly with the cube of
b and a = 40.5 when b=3, then find the value
of B when a = 12.​

Answer 1

The value of B is 2 when a = 12.

Step-by-step explanation:

It is given that,

a varies directly with the cube of b

a ∝ b³

i.e., a = kb³ ……. (i)

Also, we have,

For a = 40.5 and b = 3

Substituting the values in (i)

40.5 = k × (3)³

⇒ k = 40.5 / 27

⇒ k = 1.5  

Now,  

When a = 12 (given) and substituting the value of a and k in (i), we get

12 = 1.5 × b³

⇒ b³ = 12/1.5

⇒ b³ = 8

⇒ b³ = 2³

⇒ b = 2

------------------------------------------------------------------------------------------

Also View:

If A Varies inversely with B and if B=3 then A=8, then find B if A=2.

https://brainly.in/question/6948066

A varies directly with b. The value of a = 20 when b = 2.5. find the value of a when b =4.

https://brainly.in/question/5771581