What's the volume of a square pyramid with a base length of 14.2 cm and a height of 3.9 cm
Why did the square pyramid go to the doctor? Because it was feeling a bit "base"-ic!
Now, to calculate the volume of the square pyramid, we need to use the formula V = (1/3) * base area * height.
Since the base of the pyramid is a square, we can find the base area by multiplying the length of one side by itself. So, base area = 14.2 cm * 14.2 cm.
Now, we can plug the values into the formula:
V = (1/3) * 14.2 cm * 14.2 cm * 3.9 cm.
Simplifying the equation gives us:
V = (1/3) * 282.44 cm^2 * 3.9 cm.
Calculating it further:
V = 94.14 cm^2 * 3.9 cm.
Finally, multiplying the values together gives us:
V ≈ 367.16 cm^3.
So, the volume of the square pyramid is approximately 367.16 cm^3.
To find the volume of a square pyramid, you can use the formula:
Volume = (1/3) * base area * height.
In this case, the base area can be calculated by squaring the length of one side of the base.
Base area = (side length)^2.
Let's calculate the base area first:
Base area = (14.2 cm)^2
= 201.64 cm^2.
Now, we can calculate the volume:
Volume = (1/3) * 201.64 cm^2 * 3.9 cm
= 264.2832 cm^3.
Therefore, the volume of the square pyramid is approximately 264.28 cm^3.
To find the volume of a square pyramid, you can use the formula:
Volume = (1/3) * Base Area * Height
In this case, the base of the square pyramid is a square with a side length of 14.2 cm. Therefore, the base area can be calculated by squaring the side length:
Base Area = (Side length)^2 = 14.2 cm * 14.2 cm = 201.64 cm²
Now, substitute the given values into the formula:
Volume = (1/3) * 201.64 cm² * 3.9 cm
Multiply the base area by the height:
Volume = 201.64 cm² * 3.9 cm = 785.796 cm³
Therefore, the volume of the square pyramid is 785.796 cm³.