Question #38319

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Answer 1 · 2018-02-04T19:37:47

The length of its side is 7.1 cm.

$V o l u m e = l e n g t h \cdot w i d t h \cdot h e i g h t$ $Volume = l e ng th * width * height$

Let x represent the length of the side. Since the length, width and height will be the same (cube):

$365 = x \cdot x \cdot x = x^{3}$ $365 = x * x* x = x^3$

Solve for $x$ $x$ :

$\sqrt[3]{365} = \sqrt[3]{x^{3}}$ $root(3)365 = root(3)(x^3)$

$7.1 = x$ $7.1=x$

Answer 2 · 2018-02-04T19:38:21

$x = 7.1 c m (1 d p)$ $x=7.1cm (1dp)$

Consider a cube with length of $x cm .$ $x" cm".$

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The volume of the cube will be $x \cdot x \cdot x = x^{3}$ $x*x*x=x^3$

Since the volume is $365 c m^{3}$ $365cm^3$ , let $x^{3} = 365$ $x^3=365$

$x^{3} = 365$ $x^3=365$
$x = \sqrt[3]{365}$ $x=root3(365$
$x = 7.1 c m (1 d p)$ $x=7.1cm (1dp)$