Question
What is the height of the pyramid if It has a volume of 1980 ft³ a width of 5 and a length of 12
Answers
GPT 3.5
To find the height of the pyramid, we first need to calculate the area of the base:
Area of the base = length x width
Area of the base = 12ft x 5ft
Area of the base = 60 ft²
Now that we know the area of the base, we can use the volume formula for a pyramid:
Volume = (1/3) x area of base x height
Now, we can plug in the values we know:
1980 = (1/3) x 60 x height
1980 = 20 x height
height = 1980 / 20
height = 99 ft
Therefore, the height of the pyramid is 99 ft.
Area of the base = length x width
Area of the base = 12ft x 5ft
Area of the base = 60 ft²
Now that we know the area of the base, we can use the volume formula for a pyramid:
Volume = (1/3) x area of base x height
Now, we can plug in the values we know:
1980 = (1/3) x 60 x height
1980 = 20 x height
height = 1980 / 20
height = 99 ft
Therefore, the height of the pyramid is 99 ft.