what is the volume of a square pyramid whose base side is 50 cm and whose height is 1/2 m?
Answer (1)
Answer:1. Convert Units: - The height is given in meters (1/2 m), but the base side is in centimeters (50 cm). Let's convert the height to centimeters:- 1 meter = 100 centimeters- (1/2) meter = (1/2) * 100 centimeters = 50 centimeters 2. Formula for Volume of a Pyramid: - The volume (V) of a pyramid is calculated as:- V = (1/3) * (area of the base) * (height) 3. Calculate the Area of the Base: - The base is a square with a side length of 50 cm.- Area of a square = side * side- Area of the base = 50 cm * 50 cm = 2500 square centimeters 4. Calculate the Volume: - V = (1/3) * (2500 square centimeters) * (50 centimeters)- V = 41666.67 cubic centimeters Therefore, the volume of the square pyramid is 41666.67 cubic centimeters.
