Can someone help with this question?

Question

asked Nov 14, 2020 75.7k views

2 Answers

Jazzie · Answer 1 · 2020-11-15T02:46:23+0000

You solve an expression for a variable if that variable sits alone on one side of the equation, and everything else is on the other side.

So, our goal is to leave
alone on the right hand side, and move everything else to the left.

So, we start with

V = (1)/(3)s^2h

We multiply both sides by 3:

3V = s^2h

We divide both sides by
s^2

(3V)/(s^2) = h

To compute the required height, simply plug in the values:

$(3\cdot 400)/(10^2) = (3\cdot 400)/(100) = 3\cdot 4 = 12$

Kanomdook · Answer 2 · 2020-11-17T16:17:53+0000

Answer:
$\bold{h=(3V)/(s^2), \qquad h=12}$

Explanation:

Isolate the variable "h" by multiplying both sides by 3 and dividing both sides by s².

V=(1)/(3)s^2h

$(3)V=(3)(1)/(3)s^2h\ \quad \rightarrow\ \quad 3V=s^2h$

$(3V)/(s^2)=(s^2h)/(s^2)\ \quad \rightarrow \quad (3V)/(s^2)=h$

Next, substitute V = 400 and s = 10 to solve for h:

h=(3(400))/((10)^2)

=(1200)/(100)

= 12