For the following question, find the volume of the square pyramid shown. Round to the nearest tenth if necessary.
A right square pyramid is shown. The sides of the square base measure 10 feet. A line segment which is labeled 13 feet extends from the middle of a side of the base along a triangular surface to the vertex at the top of the pyramid. A small square is located where the dashed line intersects with the base.
(1 point)
Responses
33.3 ft3
33.3 ft 3
400 ft3
400 ft 3
1,200 ft3
1,200 ft 3
600 ft3
To find the volume of the square pyramid, you can use the formula: V = (1/3) * base area * height.
The base area of the pyramid is a square with side length 10 feet, so the base area is 10 * 10 = 100 square feet.
The height of the pyramid is the length of the line segment labeled 13 feet.
Using the formula, the volume of the pyramid is V = (1/3) * 100 * 13 = 433.3 cubic feet.
Rounded to the nearest tenth, the volume is approximately 433.3 ft3.