Question

1. the volume of a square pyramid can be represented by the formula given below. rewrite the formula so that it is equal to h. ( v = \frac{1}{3}s^2h )

Explanation:

Step1: Start with the volume formula

We have the formula for the volume \( V \) of a square pyramid: \( V = \frac{1}{3}s^{2}h \). Our goal is to solve for \( h \).

Step2: Multiply both sides by 3

To eliminate the fraction, multiply both sides of the equation by 3. This gives us \( 3V = 3\times\frac{1}{3}s^{2}h \), which simplifies to \( 3V = s^{2}h \).

Step3: Divide both sides by \( s^{2} \)

Now, to isolate \( h \), we divide both sides of the equation \( 3V = s^{2}h \) by \( s^{2} \) (assuming \( s
eq0 \)). So we get \( h=\frac{3V}{s^{2}} \).

Answer:

\( h = \frac{3V}{s^{2}} \)