What is the formula to calculate the volume of a pyramid with a square base and a height of 8 units?
The formula to calculate the volume of a pyramid with a square base is given by:
Volume = (1/3) x Base Area x Height
In this case, since the base is a square, the Base Area formula becomes:
Base Area = Length x Width
Since the length and width of a square are equal, we can simplify the formula to:
Base Area = Side^2
So, the formula to calculate the volume of a pyramid with a square base is:
Volume = (1/3) x Side^2 x Height
For the given problem, where the height is 8 units, the formula becomes:
Volume = (1/3) x Side^2 x 8
To calculate the volume of a pyramid with a square base, you can use the following formula:
Volume = (1/3) * Base Area * Height
Step 1: Calculate the area of the base
Since the base of the pyramid is a square, you can use the formula for the area of a square:
Area of square = side length * side length
Step 2: Calculate the volume
Now that you have the base area and the height, you can use the formula mentioned earlier to find the volume.
Volume = (1/3) * Base Area * Height
In this case, the height is given as 8 units. Let's assume the side length of the square base is 's'.
So, the formula to calculate the volume becomes:
Volume = (1/3) * (s * s) * 8
Simplifying further:
Volume = (1/3) * s^2 * 8
Finally, substitute the values and evaluate the expression.