Answer:
The volume of the pyramid is 120.8 ft³
Step-by-step explanation:
To find the volume of a square-based pyramid, we will follow the steps below:
write down the formula for finding the volume of a pyramid
v =A(h/3)
where v is the volume , A is the area and h is the height
From the question given perimeter of the base = 19.1 ft
since the base is a square, then;
perimeter = 4l = 19.1
4l = 19.1
Divide both-side of the equation by 4
4l/4 = 19.1/4
l = 4.775 ft
Area = l² = 4.775² ≈ 22.8 ft
Also, from the question height = 15.9 ft
v = A(h/3)
v = 22.8 (15.9/3)
v= 22.8×5.3
v=120.84
v≈120.8 ft³ to the nearest tenth of a cubic foot
The volume of the pyramid is 120.8 ft³
