Question

The base of a pyramid is a rectangle with an area of 27.6 cm². What is the height, in centimeters, of the pyramid if its volume is 82.8 cm³?NOTE: Volume of a pyramid: V-Bh where B is the area of the baseAnswer:A-6B-2C-9D-18

Answer 1

The volume of the pyramid can be found by using the following expression:

$V=\frac{B\cdot h}{3}$

Where "B" is the area of the base, "h" is the height of the pyramid and V is the volume we want to find. We can calculate the height by replacing the values for volume and the area of the base as shown below:

$\begin{gathered} 82.8=\frac{27.6\cdot h}{3} \\ 27.6\cdot h=3\cdot82.8 \\ 27.6\cdot h=248.4 \\ h=\frac{248.4}{27.6}=9\text{ cm} \end{gathered}$

The height of the pyramid is equal to 9 cm, the correct answer is C.