To find the volume of a pyramid with a square base, we use the formula:

$$ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} $$

Step 1: Calculate the area of the square base.
The side length of the base is 14.4 meters.

$$ \text{Base Area} = \text{side length}^2 = 14.4 \, \text{m} \times 14.4 \, \text{m} = 207.36 \, \text{m}^2 $$

Step 2: Use the height of the pyramid.
The height of the pyramid is 15.3 meters.

Step 3: Substitute the base area and height into the volume formula.

$$ V = \frac{1}{3} \times 207.36 \, \text{m}^2 \times 15.3 \, \text{m} $$

Step 4: Perform the multiplication.

$$ V = \frac{1}{3} \times 3172.608 \, \text{m}^3 $$

$$ V = 1057.536 \, \text{m}^3 $$

Step 5: Round the answer to the nearest tenth.

$$ V \approx 1057.5 \, \text{m}^3 $$

So, the volume of the pyramid is approximately 1057.5 cubic meters.

Question

To find the volume of a pyramid with a square base, we use the formula:

$$ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} $$

Step 1: Calculate the area of the square base.
The side length of the base is 14.4 meters.

$$ \text{Base Area} = \text{side length}^2 = 14.4 \, \text{m} \times 14.4 \, \text{m} = 207.36 \, \text{m}^2 $$

Step 2: Use the height of the pyramid.
The height of the pyramid is 15.3 meters.

Step 3: Substitute the base area and height into the volume formula.

$$ V = \frac{1}{3} \times 207.36 \, \text{m}^2 \times 15.3 \, \text{m} $$

Step 4: Perform the multiplication.

$$ V = \frac{1}{3} \times 3172.608 \, \text{m}^3 $$

$$ V = 1057.536 \, \text{m}^3 $$

Step 5: Round the answer to the nearest tenth.

$$ V \approx 1057.5 \, \text{m}^3 $$

So, the volume of the pyramid is approximately 1057.5 cubic meters.

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