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Find the volume of a pyramid whose base is a square with side l and whose height is h?

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Final answer:

The volume of a pyramid with a square base of side l and height h is given by the formula V = ⅓l²h. Calculate the area of the square base, then multiply by the height and divide by three.

Step-by-step explanation:

To find the volume of a pyramid with a square base of side l and a height of h, we can use the formula for the volume of a pyramid, which is one-third the base area multiplied by the height. This means we first need to calculate the area of the square base, which is l multiplied by l, or l². We then multiply this area by the height of the pyramid, and take one-third of that product to get the volume.

The formula can be expressed as V = ⅓l²h, where V is the volume of the pyramid, l is the length of a side of the square base, and h is the height of the pyramid.

User Colin Cline
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