Question

A is inversely proportional to the cube of B if A =
3 then B = 2 but if A = 8/9 then B = ?

Answer 1

Answer:

A is inversely proportional to cube of B

if A= 3 then B = 2

then if A = 8/9

That is A× 8/27 then B^3 becomes 27/8 multiple of B^3

That is ( 3/2. B)^3

So ,B becomes 3/2. 2

= 3

Or Do it mathematically

take A= k/B^3

A= 3, Then B = 2

3 = k/8

k = 24

If A= 8/9, then

Fetching above values in A= k/B^3

8/9 = 24/B^3

1/27 = 1/B^3

B^3 = 27

B^3 = 3^3

B= 3

#answerwithquality #BAL

Answer 2

Answer:

A is inversely proportional to the cube of B

⇒ A = k/B³ where k is a constant

Find k:

When A = 3, B = 2

3 = k/2³

k = 3 x 2³

k = 24

Therefore the equation is A = 24/B³

Find the value of B when A = 8/9 :

A = 24/B³

8/9 = 24/B³

8B³ = 24 x 9

8B³ = 216

B³ = 216 ÷ 8

B³ = 27

B = ∛27

B = 3

Answer: The value of B is 3.