Algebra! Please help if you can!
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Algebra! Please help if you can!

[From: ] [author: ] [Date: 12-09-04] [Hit: ]
If someone can show how they got the answer it would be appreciated!Here are the possible answers:[L^3], [L]^-1[T], [L][T]^-1, [M][L]^-4,Now cancel out M,......
An expression for buoyant force is FB = ρgV, where FB has dimensions [MLT−2], ρ has dimensions [ML−3], and g has dimensions [LT−2]. What must be the dimensions of V? If someone can show how they got the answer it would be appreciated!

Here are the possible answers: [L^3], [L]^-1[T], [L][T]^-1, [M][L]^-4, [L^-3]

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V = (FB) / (ρg)

= MLT^(-2) / [ML^(-3) * LT^(-2)]

Now cancel out M, L and T^(-2) and you're left with 1 / L^(-3),
which is the same as L^3.
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