Question

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 $a=\sqrt{\frac{V}{b}} =\frac{\sqrt{Vb}}{b}$

Answer 2

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