Answer:
The volume of the pyramid is approximately 6.66 cubic feet when rounded to the nearest tenth.
Step-by-step explanation:
To find the volume of a pyramid with a square base, you can use the formula:
V=1/3 Bh
where B is the area of the base and ℎ is the height of the pyramid.
First, let's find the area of the square base. Since the perimeter of the base is given, we can calculate the length of one side of the square base by dividing the perimeter by 4:
Length of one side= Perimeter/4 = 7.3 ft/4 =1.825 ft
Now, let's calculate the area of the square base:
Area of base=Side² =(1.825 ft)²
Area of base=3.33 square feet
Next, we can use the given height of the pyramid:
h=6 ft
Now, let's plug in the values into the volume formula:
V= 1/3×(3.33 square feet)×(6 ft)
V= 1/3×19.98 cubic feet
V≈6.66 cubic feet
Therefore, the volume of the pyramid is approximately 6.66 cubic feet when rounded to the nearest tenth.
