How do you calculate the volume of a pyramid with base area 20 cm² and height 9 cm?

To calculate the volume of a pyramid, use the formula: Volume = (1/3) × Base Area × Height.

To break it down further, the volume of a pyramid is determined by multiplying the area of its base by its height and then dividing by three. This formula works for any pyramid, regardless of the shape of its base, as long as you know the base area and the height.

In this specific case, the base area of the pyramid is given as 20 cm², and the height is 9 cm. Plugging these values into the formula, we get:

Volume = (1/3) × 20 cm² × 9 cm

First, multiply the base area by the height:
20 cm² × 9 cm = 180 cm³

Next, divide the result by 3:
180 cm³ ÷ 3 = 60 cm³

So, the volume of the pyramid is 60 cm³. This method ensures you correctly account for the three-dimensional space within the pyramid, considering its tapering shape from the base to the apex.

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