A holiday ornament in the shape of a square pyramid has the following dimensions: 2.75 × 2.75 x 2.75 in. What is the approximate volume of the ornament?

Question

Round your answer to the nearest hundredth. (1 point)
• 24.47 in.3
• 20.80 in. 3
• 9.01 in.3
• 6.93 in.3

Answer 1

The volume of a square pyramid is given by the formula V = (1/3) * B * h, where B is the area of the base and h is the height.

In this case, the base of the square pyramid is a square with sides of length 2.75 in, so the area of the base is (2.75)^2 = 7.5625 sq in.

The height of the pyramid is also 2.75 in.

Plugging these values into the formula, we get V = (1/3) * 7.5625 * 2.75 ≈ 6.93 in^3.

So, the approximate volume of the ornament is 6.93 in^3, therefore the correct answer is:
• 6.93 in.3