Question

plz help me !!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.

Answer 1

The base has an area of
`a^2`

So, the volume is
`V=a^2b`

Solving for a, you get
`a=\sqrt{(V)/(b)} =(√(Vb))/(b)`

Answer 2

sqrt(V/b) = a

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