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A and B are two similar solids. The volume of A is 400cm^2. Work out the volume of B.
Please help

A And B Are Two Similar Solids The Volume Of A Is 400cm2 Work Out The Volume Of B Please Help class=

Sagot :

itsandypandy

Answer:

[tex]1350cm^{3}[/tex]

Step-by-step explanation:

Firstly calculate the linear scale factor;

⇒ [tex]LSF = \frac{15}{10} = \frac{3}{2}[/tex]

Now to to get the volume scale factor, cube the linear scale factor;

⇒ [tex]VSF = LSF^{3} = (\frac{3}{2})^{3} = \frac{27}{8}[/tex]

Finally, multiply Volume A by the VSF to get volume B;

⇒ [tex]V = \frac{27}{8}(400) = 1350cm^{3}[/tex]

Hope this helps! :D

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