The trunk of a freight car is a cuboid, which is 4 meters long, 1.5 meters wide and 4 meters high. It is filled with a load of sand. After unloading, the sand pile bears a cone with a height of 1.5 meters to calculate the bottom area

The trunk of a freight car is a cuboid, which is 4 meters long, 1.5 meters wide and 4 meters high. It is filled with a load of sand. After unloading, the sand pile bears a cone with a height of 1.5 meters to calculate the bottom area


Volume of sand = 4 × 1.5 × 4 = 24 M3
Base area of cone = 24 △ 1 / 3 △ 1.5 = 48 square meters



A freight car is a cuboid, its length is 5m, its width is 2m, its height is 2m. It is filled with a load of sand. After unloading, the sand is piled into a cone with a height of 2m. How many square meters is its bottom area?


Sand volume = 5 × 2 × 2 = 20 (M3)
Bottom area = 20 × 3 △ 2 = 30 (M2)