A holiday ornament in the shape of a square Pyramid has the following dimensions 2.75 x 2.75 x2.75 in. What is the approximate volume of the ornament. Round to nearest hundredth.
To find the volume of a square pyramid, you need to use the formula: Volume = (base area * height) / 3.
The base area of a square pyramid with side length 'a' is given by: Base area = a^2.
In this case, the side length of the square base is 2.75 inches. So, the base area of the pyramid is: Base area = 2.75^2 = 7.5625 square inches.
The height of the pyramid is also given as 2.75 inches.
Using the formula for volume, we can calculate it as: Volume = (7.5625 * 2.75) / 3 = 20.865625 / 3 = 6.96 cubic inches.
Rounding this to the nearest hundredth, the approximate volume of the ornament is 6.96 cubic inches.
The formula for the volume of a square pyramid is:
V = (1/3) * base area * height
In this case, the base is a square with sides of 2.75 inches, so the base area is:
2.75 * 2.75 = 7.5625 square inches
The height of the pyramid is also 2.75 inches. Plugging these values into the formula, we get:
V = (1/3) * 7.5625 * 2.75
V = 6.5471875 cubic inches
Rounding to the nearest hundredth, the volume of the ornament is approximately 6.55 cubic inches.