The height of a pyramid is 19 in. The length of the side of the base is 20 in. Find the volume of the pyramid. Round to the nearest hundredth. A) 1989.68 in³ B) 2533.33 in³ C) 7600 in³ D) 633.33 in³ E) 2406.67 in³

Question

Quizplus · Accepted Answer

Using the formula for the volume of a pyramid, which is V = (1/3)Bh where B is the area of the base, we can calculate the volume by finding the area of the base and multiplying it by the height, then dividing by 3. The area of the base can be found using the formula for the area of a square, which is A = s^2 where s is the length of one side of the square. In this case, s = 20 in. So A = 20^2 = 400 in^2. Putting this together, we get:

V = (1/3)(400)(19) = 2533.33 in^3

Rounding to the nearest hundredth gives us the answer of 2533.33 in^3.

The Height of a Pyramid Is 19 In