Question

If cube root of 0.003375 * a = 0.75. Find the value of a

Answer 1

0375

Step-by-step explanation:

remove point and find your answer . Answer in your question

Answer 2

If cube root of 0.003375 * a = 0.75, then the value of a is 125.

Step-by-step explanation:

Given data: ∛[0.003375 * a] = 0.75

To find: the value of a

Solution:  

$\sqrt[3]{0.003375 * a}$ = 0.75

⇒ $\sqrt[3]{\frac{3375}{1000000} * a}$ = 0.75

⇒ $\sqrt[3]{\frac{3375}{1000000}}$ * ∛[a] = 0.75

⇒ $\sqrt[3]{\frac{15^3}{10^6}}$ * ∛[a] = 0.75

⇒ $\frac{15}{100}$ * ∛[a] = 0.75

⇒ ∛[a] = $\frac{0.75*100}{15}$

⇒ ∛[a] = 5

Taking cube on bothe sides

⇒ [∛a]³ = (5)³

⇒ a = 125

Thus, the value of a is 125.

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