Question

Find the edge of a cube of volume 10. 648m^3.

Answer 1

$voulume \: of \: cube = side {}^{3} \\ \sqrt[3]{10.648} m {}^{3} = a \\ 2.2m$
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Answer 2

GIVEN ☞

VOLUME OF CUBE =10.648m³

Let a be the edge of cube

VOLUME OF CUBE = a³

=>a³=10.648

=>
$a = \sqrt[3]{10.648}$
$a = \sqrt[3]{ \frac{10648}{100} }$
so

$a = \sqrt[3]{ \frac{22 \times 22 \times 22}{10 \times 10 \times 10 } }$
$= > a = \frac{22}{10}$

$= > a = 2.2m$

$hence \: edge \: of \: cube \: 2.2m$

✹VERIFICATION✹

VOLUME OF CUBE = a³

$= > a \times a \times a$

$= > 2.2 \times 2.2 \times 2.2$
$= 10.648$m³