Question

Solve this worksheet​

Answer 1

Step-by-step explanation:

(1)

125 is the smallest among the others

$\sqrt[3]{125} = 5$

(2)

729 is the largest among the others

$\sqrt[3]{729} = 9$

(3)

The cube of an even number is always Even

${2}^{3} = 8 \: \: \: \: \: \: \: \: \\ {4}^{3} = 64 \: \: etc.$

(4)

$243 \times 3 = 729 \\ \sqrt[3]{729} = 9 \: \: \: \: \: \: \:$

The smallest natural number by which 243 must be multiplied to make the product of a perfect square is 3

(5)

$\sqrt[3]{46656} = 36$

Two digits are there in cube root of 46656.

(6)

$volume \: of \: cube \: = {side}^{3}$

$volume \: = {2}^{3} {cm}^{3} = 8 {cm}^{3}$

Volume of cube having 2cm sides is 8 cm^3.

(7)

$\sqrt[3]{64 \times 729}$

$\sqrt[3]{4 \times 4 \times 4 \times 9 \times 9 \times 9}$

$4 \times 9 \: \: \: = 36$

The answer is 36.

(8)

$\sqrt[3]{0.001728}$

$\sqrt[3]{1728 \times {10}^{ - 6} }$

$\sqrt[3]{12 \times 12 \times 12 \times {10}^{ - 2} \times {10}^{ - 2} \times {10}^{ - 2} }$

$12 \times {10}^{ - 2} = 0.12$

The answer is 0.12