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.

1/3 * (14.2^2) * 3.9