a square based pyramid has a volume of 1100 mm cubed its height is 15 mm calculate the dimensions of the base of the pyramid?
I don't have the formulas !
To calculate the dimensions of the base of a square-based pyramid with a given volume and height, we need to use the formula for the volume of a pyramid, which is:
Volume = (1/3) * Base Area * Height
In this case, we are given the volume (1100 mm³) and the height (15 mm). We are trying to find the dimensions of the base, so we need to find the base area.
Rearranging the formula, we get:
Base Area = (Volume * 3) / Height
Plugging in the given values:
Base Area = (1100 mm³ * 3) / 15 mm
Base Area = 3300 mm² / 15 mm
Base Area = 220 mm²
Since the base of a square-based pyramid is a square, the base area represents the side length (squared), so we can find the side length of the base by taking the square root of the base area.
Side Length = √(Base Area)
Side Length = √(220 mm²)
Side Length ≈ 14.83 mm
Therefore, the dimensions of the base of the pyramid are approximately 14.83 mm by 14.83 mm.
looks like a serious case of homework or assignment dumping here.
Exactly what difficulties are you having in substituting the given data in the appropriate formulas?
Your text should have all the formulas needed to do these problems