which of the following numbers are the cubes of following numbers:
(i) $216$
(ii) $729$
(iii) $512$
(iv) $3375$
(v) $1000$

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Solution

$\sqrt[3]{216} = 6$
$\sqrt[3]{512} = 8$
$\sqrt[3]{1000} = 10$
$\sqrt[3]{729} = 9$
$\sqrt[3]{3375} = 15$

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729

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1000

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Find the cube-roots of:

(i) $\frac{27}{64}$ (ii) $\frac{125}{216}$ (iiii) $\frac{343}{512}$

(iv) $64 \times 729$ (v) $64 \times 27$ (vi) $729 \times 8000$

(vii) $3375 \times 512$

Which of the following numbers are notperfect cubes?

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(ii) 128

(iii) 1000

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(v) 46656

Which of the following are not perfect cubes?
(i) $216$
(ii) $128$
(iii) $1000$
(iv) $100$
(v) $46656$

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