find the volume of the triangular pyramid given the measures shown. note that the figure is not to…

find the volume of the triangular pyramid given the measures shown. note that the figure is not to scale.\ndraw

find the volume of the triangular pyramid given the measures shown. note that the figure is not to scale.\ndraw

Answer

Explanation:

Step1: Calculate base area

The base is a rectangle, so area is length × width: $A = 8 \times 4 = 32$

Step2: Apply pyramid volume formula

Volume of a pyramid is $\frac{1}{3} \times$ base area $\times$ height: $V = \frac{1}{3} \times 32 \times 5$

Step3: Compute final volume

Calculate the product: $V = \frac{160}{3} \approx 53.33$

Answer:

$\frac{160}{3}$ (or approximately $53.33$)