If The Volumes Of Two Cubes Are In The Ratio 8:1, Then The Ratio Of Their Edges Is

If the volumes of two cubes are in the ratio 8:1, then the ratio of their edges is

2:1
3:5
6:8
None

Explanation

Let $V_{1}$ and $V_{2}$ be two volume of cubes.
$l_{1}$ and $l_{2}$ be edges of the two cubes.
We know that,
Volume of cube $V = l^{3}$
So,
$\Rightarrow$    $\frac{V _{1}}{V _{2}} = \frac{l _{1}^{3}}{l _{2}^{3}}$

$\Rightarrow$    $\frac{8}{1} = (\frac{l _{1}}{l _{2}})^{3}$ [ Given ]

$∴$    $\frac{l _{1}}{l _{2}} = \frac{2}{1}$

$∴$ Ratio of their edges is $2 : 1$ .

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If the volumes of two cubes are in the ratio 8:1, then the ratio of their edges is

Explanation

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If the volumes of two cubes are in the ratio 8:1, then the ratio of their edges is

Explanation

Let V1​ and V2​ be two volume of cubes.l1​ and l2​ be edges of the two cubes.We know that,Volume of cube V=l3So,⇒ V2​V1​​=l23​l13​​⇒ 18​=(l2​l1​​)3 [ Given ]∴ l2​l1​​=12​∴ Ratio of their edges is 2:1.

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