Question

a solid right pyramid has a square base. the base edge length is 2 cm longer than the height of the pyramid. if the height is 6 cm, what is the volume of the pyramid? 24 cm³ 48 cm³ 128 cm³ 144 cm³

Explanation:

Step1: Find base - edge length

Given height $h = 6$ cm. Base - edge length $s=h + 2=6 + 2=8$ cm.

Step2: Calculate base area

The base is a square. Area of square base $A=s^{2}$, so $A = 8^{2}=64$ $cm^{2}$.

Step3: Calculate volume

Volume of a pyramid $V=\frac{1}{3}Ah$, where $A$ is the base area and $h$ is the height. Substitute $A = 64$ $cm^{2}$ and $h = 6$ cm. $V=\frac{1}{3}\times64\times6=128$ $cm^{3}$.

Answer:

$128$ $cm^{3}$