Question

what is the volume of this triangular pyramid? 9 m 8 m 8 m cubic meters submit

Explanation:

Step1: Find base triangle area

The base is an equilateral triangle with side length $8$ m. The area formula for a triangle is $\frac{1}{2} \times \text{base} \times \text{height}$. For the base triangle:
$\text{Area of base} = \frac{1}{2} \times 8 \times 8 = 32$ $\text{m}^2$

Step2: Apply pyramid volume formula

The volume of a pyramid is $\frac{1}{3} \times \text{base area} \times \text{height}$. The pyramid height is $9$ m:
$\text{Volume} = \frac{1}{3} \times 32 \times 9$

Step3: Calculate final volume

Simplify the expression:
$\frac{1}{3} \times 32 \times 9 = 32 \times 3 = 96$

Answer:

96 cubic meters