Final answer:
To calculate the volume of a pyramid with a square base and a side length of 10 m and a height of 7.2 m, use the formula V = 1/3 x base area x height. This yields a volume of 240 m³.
Step-by-step explanation:
To find the volume of a pyramid with a square base, you can use the formula for the volume of a pyramid, which is V = (1/3) x base area x height. Since the base is a square, the base area (A) is the side length squared (side2). Given the side length (s) is 10 m, the base area is 10 m x 10 m = 100 m2. The height (h) is given as 7.2 m.
To find the volume of a pyramid, we need to multiply the area of the base by the height and divide by 3.
Given that the pyramid has a square base with a side length of 10 m and a height of 7.2 m, we can calculate its volume as follows:
Volume = (side length of base)^2 × height ÷ 3 = (10 m)^2 × 7.2 m ÷ 3 = 100 m^2 × 7.2 m ÷ 3 = 240 m^3.
Thus, the volume of the pyramid is calculated as follows:
V = (1/3) x 100 m2 x 7.2 m = (1/3) x 720 m3 = 240 m3.
The pyramid has a volume of 240 cubic meters or 240 m3.