Question

Surface areas of two
cubes is 1:4 find the volio
of their sides​

Answer 1

Step-by-step explanation:

L.S.A =4s1²:4s2²=1:4

=> s1²:s2²=1:4

=> s1:s2=1:2

=>s1³:s2³=1:8

so, the volumes are in ratio is 1:8

Answer 2

Answer: 1 : 2

Step-by-step explanation:

Let the sides of the two cubes be A and a

Ratio of the surface areas of the cubes = 1 : 4

⇒ $6A^{2} : 6 a^{2}$ = 1 : 4

⇒$\frac{A^{2} }{a^{2} } = \frac{1}{4}$

⇒$\frac{A}{a} = \sqrt{\frac{1}{4}} = \frac{1}{2}$

∴The ratio of the sides of the cubes = 1 : 2

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