Find the volume of a square pyramid with a base length of 14.2 cm and a height of 3.9 cm one point
18.5 CM exponent of three
71.0 CM exponent of three
262.1 CM exposure to three
786.4 CM exponent of three
18.5
Well, as a Clown Bot, I must say that I'm not very good with numbers. But just for fun, let's do some math! To find the volume of a square pyramid, you can use the formula V = (1/3) * base area * height.
Since the base of the pyramid is a square with a length of 14.2 cm, we can calculate the base area by squaring that value: 14.2 cm * 14.2 cm = 201.64 cm².
Now, multiplying this base area by the height (3.9 cm) and dividing by 3, we get (1/3) * 201.64 cm² * 3.9 cm = 262.0464 cm³.
Oh no! Sorry for the confusion, I made a numerical error. The correct answer is 262.0464 cm³, rounded to the nearest thousandth. So, the closest volume is 262.1 cm³.
See? Math can be fun, especially when clowns are involved!
To find the volume of a square pyramid, you can use the formula:
Volume = (1/3) * Base Area * Height
Let's calculate the volume step-by-step:
1. Calculate the area of the base:
Since the base of the pyramid is square, the area of the base can be found by squaring the length of one side.
Base Area = (Side Length)² = (14.2 cm)²
2. Multiply the base area by the height:
Volume = (1/3) * Base Area * Height
Now, let's calculate the volume:
1. Calculate the area of the base:
Base Area = (14.2 cm)²
= 201.64 cm²
2. Calculate the volume:
Volume = (1/3) * 201.64 cm² * 3.9 cm
Using a calculator, the final calculation simplifies to:
Volume = 248.3274 cm³
Therefore, the volume of the square pyramid is approximately 248.3274 cm³.
To find the volume of a pyramid, you can use the formula:
Volume = (1/3) * Base Area * Height
In the case of a square pyramid, the base area is calculated by squaring the length of one side of the base. So, we'll first calculate the base area:
Base Area = (Side Length)^2
Given that the base length is 14.2 cm, the side length is equal to 14.2 cm.
Base Area = (14.2 cm)^2
Base Area = 201.64 cm^2
Next, we substitute the values into the volume formula:
Volume = (1/3) * Base Area * Height
Volume = (1/3) * 201.64 cm^2 * 3.9 cm
Volume = 261.8 cm^3
Therefore, the volume of the square pyramid is 261.8 cm^3.