To find the side length of the base of the second pyramid, we can use the formula for the volume of a square pyramid, which is V = (1/3) * (base area) * height.
Since the two pyramids have the same volume, we can set up an equation with their respective volume formulas:
(1/3) * (8^2) * 12 = (1/3) * x^2 * 14
Simplifying this equation, we get:
(64) * 12 = (14) * x^2
768 = 14x^2
Divide both sides by 14 to isolate x^2:
x^2 = 768 / 14
x^2 = 54.86
x = sqrt(54.86)
x ≈ 7.4
Therefore, the side length of the base of the second pyramid is approximately 7.4 cm.
Two square pyramids have the same volume. For the first pyramid, the side length of the base is 8 cm and the height is 12 cm. The second pyramid has a height of 14 cm. What is the side length of the base of the second pyramid? Round to the nearest tenth!!!!
1 answer