Respuesta :
Answer:
Volume of the pyramid is [tex]26\frac{2}{3} \ yd^3[/tex]
Step-by-step explanation:
Here we have the formula for the volume of a pyramid given as follows;
Volume of pyramid = [tex]\frac{1}{3} \times Area \ of \, Base, B \times Height \ h \ of \ the\ pyramid[/tex]
The side of the base of the triangular pyramid is given as 5 yd
The height of the base triangle = 4 yd
Area of base, B triangle = [tex]\frac{1}{2} \times base \times height = \frac{1}{2} \times 5 \times 4 = 10 \ yd^2[/tex]
Therefore, since the height of the pyramid = 8 yd, the volume of the pyramid is given by the following relation;
Volume of the pyramid = [tex]\frac{1}{3} \times 10 \ yd^2 \times 8 \ yd = \frac{80}{3} \ yd^3 = 26\frac{2}{3} \ yd^3[/tex].
