1 - m 3If at l -64- m -2- then find the constant of variation-A- 8B- 4C- 16D- 2

The correct option is A 8Given, l ∝ m^3 Let the constant of variation be k. ⇒ l = km^3 Given, at l = 64, m = 2. So, k = l/m^3 = 64/2^3 = 64/8 = 8. ...

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Standard VIII

Mathematics

Variation

1 ∝ m 3If at ...

Question

$l \propto m^{3}$
If at l = 64, m = 2, then find the constant of variation.

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Solution

The correct option is A 8
$G i v e n, l \propto m^{3}$
Let the constant of variation be k.
$\Rightarrow l = k m^{3}$
Given, at l = 64, m = 2.
So, $k = \frac{l}{m^{3}} = \frac{64}{2^{3}} = \frac{64}{8} = 8.$

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l∝ m3 If at l = 64, m = 2, then find the constant of variation.

The correct option is A 8Given, l∝ m3 Let the constant of variation be k. ⇒l=km3 Given, at l = 64, m = 2. So, k=lm3 =6423=648=8.

$l \propto m^{3}$
If at l = 64, m = 2, then find the constant of variation.

The correct option is A 8
$G i v e n, l \propto m^{3}$
Let the constant of variation be k.
$\Rightarrow l = k m^{3}$
Given, at l = 64, m = 2.
So, $k = \frac{l}{m^{3}} = \frac{64}{2^{3}} = \frac{64}{8} = 8.$