Question

Net Post Test: Perimeter, Area, Surface Area, and Volume Submit Tes 7 2 A pyramid has a square base with side s. The height of the pyramid is that of its side. What is the expression for the volum 3 OA V=2 OB V=23 Oc. 2. s ? $ OD. 2. 9 O E V-1S Reset Next

Answer 1

Step1: Write out the formula

The volume of a pyramid is given by

$\frac{1}{3}base\text{ area}\times height$

step 2: Write out the given parameters

side=s, base area=s²

$\text{base area=s}^2,\text{ height=}\frac{2}{3}s$

Step3: substitute the parameters into the formula

$\begin{gathered} \text{volume,v}=\frac{1}{3}\times s^2\times\frac{2}{3}s \\ =\frac{2}{9}s^3 \end{gathered}$

Hence the volume V of the pyramid is (2/9)s³

Therefore the correct option is D