Answer: the volume of water in the tank is 8208 cm³.
Step-by-step explanation: To find the volume of water in the tank, we need to calculate the volume of the portion of the tank that is filled with water. Here are the steps to find the volume:
1. Determine the height of the water: Since the tank is filled up to 3/5 of its height, we can calculate the height of the water by multiplying the tank's height by 3/5. In this case, the tank's height is 15 cm, so the height of the water is (3/5) * 15 cm = 9 cm.
2. Calculate the volume of the water: The volume of the water is equal to the base area of the tank multiplied by the height of the water. The base area is given by the length multiplied by the width of the tank. In this case, the length is 38 cm and the width is 24 cm. So, the base area is 38 cm * 24 cm = 912 cm². Multiplying the base area by the height of the water (9 cm), we get the volume of the water as 912 cm² * 9 cm = 8208 cm³.