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

`(1)/(3)base\text{ area}* height`

step 2: Write out the given parameters

side=s, base area=s²

`\text{base area=s}^2,\text{ height=}(2)/(3)s`

Step3: substitute the parameters into the formula

`\begin{gathered} \text{volume,v}=(1)/(3)* s^2*(2)/(3)s \\ =(2)/(9)s^3 \end{gathered}`

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

Therefore the correct option is D