Answer:
The volume of pyramid is 28.5 cubic feet
Step-by-step explanation:
Volume of square base pyramid =[tex]\frac{1}{3} \times \text{Area of base} \times Height[/tex]
Perimeter of square base = [tex]4 \times Side[/tex]
We are given that base of pyramid is 10.1
So, [tex]4 \times Side = 10.1[/tex]
[tex]Side = \frac{10.1}{4}[/tex]
Side =2.525 ft
Area of square base = [tex]Side \times Side = 2.525 \times 2.525=6.375625 ft^2[/tex]
Height of pyramid = 13.4 ft
Volume of square base pyramid =[tex]\frac{1}{3} \times 6.375625 \times 13.4=28.477 ft^3[/tex]
Hence The volume of pyramid is 28.5 cubic feet
