Question

calculate the volume.

Explanation:

Step1: Recall volume formula for pyramid

The volume formula for a pyramid is $V=\frac{1}{3}Bh$, where $B$ is the base - area and $h$ is the height.

Step2: Calculate the base - area

The base is a triangle with base $b = 10$ cm and height $h_{base}=8$ cm. The area of a triangle $B=\frac{1}{2}\times b\times h_{base}=\frac{1}{2}\times10\times8 = 40$ $cm^{2}$.

Step3: Calculate the volume

The height of the pyramid $h = 6.6$ cm. Using the volume formula $V=\frac{1}{3}\times B\times h=\frac{1}{3}\times40\times6.6 = 88$ $cm^{3}$.

Answer:

$88$ $cm^{3}$