a varies directly as b cube . When a is equal 2 , b is equal to 1, find the value of a ,when b is equal to 3
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Step-by-step explanation:
According to question let, A=K
C
3
B
where K is a constant and A=3,B=256,C=2 satisfies the equation, So
3=K
2
3
256
=K
8
16
=2K
K=
2
3
So
A=
2C
3
3
B
Now for A=24,C=
2
1
we have,
24=
2.
2
1
.
2
1
.
2
1
3
B
B
=
3
24.2.
2
1
.
2
1
.
2
1
=
24
48
=2
B=2
2
=4
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