The perimeter of the base of the pyramid is 66 feet. 18 feet is the length of one side of the base. What is the length of the missing side of the base? the height is 78 What is the volume of the pyramid?
To find the length of the missing side of the base, we can use the information provided.
Since the perimeter of the base is 66 feet and one side is 18 feet, the total length of all four sides is 66 feet. Since we know one side is 18 feet, the combined length of the other three sides is 66 - 18 = 48 feet. Since there are three sides left, each side must be 48 / 3 = 16 feet.
Therefore, the missing side of the base is 16 feet.
To find the volume of the pyramid, we can use the formula:
Volume = (1/3) x Base Area x Height
First, calculate the area of the base using the known sides:
Area of base = 18 feet x 18 feet = 324 square feet
Now plug in the values for the base area and height into the formula:
Volume = (1/3) x 324 square feet x 78 feet
Volume = (1/3) x 25272 cubic feet
Volume = 8424 cubic feet
Therefore, the volume of the pyramid is 8424 cubic feet.