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gtnhenbr [62]
2 years ago
10

The base of a rectangular solid is a square with a side of the length a cm. The height of the rectangular solid is b cm and its

volume is equal to Vcm³. Express the variable a in terms of b and V.
Mathematics
2 answers:
Lana71 [14]2 years ago
6 0

The base has an area of a^2

So, the volume is V=a^2b

Solving for a, you get a=\sqrt{\frac{V}{b}} =\frac{\sqrt{Vb}}{b}


LenKa [72]2 years ago
4 0

Answer:

sqrt(V/b) = a

Step-by-step explanation:

Volume of a rectangular solid = l*w*h

We know the length = a

width =a

height = b

V = a*a*b

V =a^2 b

Divide both sides by b

V/b= a^2

Take the square root of each side

sqrt(V/b) = sqrt(a^2)

sqrt(V/b) = a


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