Question

the formula for the volume of a pyramid is $v=\frac{1}{3}bh$, where $v$ is the volume, $b$ is the area of the base, and $h$ is the height of the pyramid. cecilia has a pyramid - shaped candle with a square base. the volume of the candle is $720mathrm{cm}^3$ and the area of the base is $36mathrm{cm}^2$. what is the height of the candle? a. $6mathrm{cm}$ b. $12mathrm{cm}$ c. $20mathrm{cm}$ d. $60mathrm{cm}$

Explanation:

Step1: Substitute the given values into the formula

Given \(V = 720\space cm^{3}\), \(B=36\space cm^{2}\), and the formula \(V=\frac{1}{3}Bh\). Substitute these values: \(720=\frac{1}{3}\times36\times h\).

Step2: Simplify the equation

First, calculate \(\frac{1}{3}\times36 = 12\). So the equation becomes \(720 = 12h\).

Step3: Solve for \(h\)

Divide both sides of the equation \(720 = 12h\) by \(12\). Using the formula \(h=\frac{720}{12}\).

Answer:

C. \(20\space cm\)