Question

The formula for the volume of a right square pyramid is given below, where a is the side length of the base and h is the height.V = 1/3 (a^2)hRewrite the formula by solving for a.

Answer 1

Answer:

$\begin{equation*} a=\sqrt{\frac{3V}{h}} \end{equation*}$

Explanation:

Given:

$V=\frac{1}{3}a^2h$

To:

Rewrite the formula by solving for a

We'll go ahead and make "a" the subject of formula by following the below steps;

Step 1: Cross multiply;

$3V=a^2h$

Step 2: Divide both sides by h;

$\begin{gathered} \frac{3V}{h}=\frac{a^2h}{h} \\ \frac{3V}{h}=a^2 \end{gathered}$

Step 3: Take the square root of both sides;

$\begin{gathered} \sqrt{\frac{3V}{h}}=a \\ \therefore a=\sqrt{\frac{3V}{h}} \end{gathered}$