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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.

Respuesta :

offguard

The base has an area of [tex]a^2[/tex]

So, the volume is [tex]V=a^2b[/tex]

Solving for a, you get [tex]a=\sqrt{\frac{V}{b}} =\frac{\sqrt{Vb}}{b}[/tex]


wegnerkolmp2741o

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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