Height of a pyramid on a square is 18cm if the volume of the pyramid is 294cm³ find the length of a side of a base

Answer 1

To find the length of a side of the base of the pyramid, we can use the formula for the volume of a pyramid:

Volume = (1/3) * base_area * height

In this case, the volume of the pyramid is 294cm³ and the height is 18cm. Let's assume the length of a side of the base is x. Since the base is a square, the base area can be calculated as x².

Plugging these values into the formula, we have:

294 = (1/3) * x² * 18

To solve for x, we can simplify the equation by multiplying both sides by 3:

882 = x² * 18

Divide both sides by 18 to isolate x²:

x² = 882 / 18

Simplify the right side:

x² = 49

Now take the square root of both sides to solve for x:

x = √49

x = 7

Therefore, the length of a side of the base of the pyramid is 7cm.