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Determine the volume of a square-based pyramid given that each side of the square is 8 cm and the slant height of the pyramid is 5 cm.

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Final answer:

To find the volume of a square-based pyramid, use the formula V = (1/3) × A × h where A is the area of the base and h is the height. In this case, the area is 8² and the height is 5 cm, resulting in a volume of 53.33 cm³.

Step-by-step explanation:

To determine the volume of a square-based pyramid, we need to use the formula:

V = (1/3) × A × h

Where A is the area of the base and h is the height of the pyramid.

The area of the base can be calculated by finding the square of the side length of the square base, so in this case, the area is 8².

Plugging in the values, we get: V = (1/3) × 8² × 5 cm.

V = 53.33 cm³

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