a tank is in the shape of a triangular prism. If the triangular base has an area of 116 square feet, and the tank is 30 feet tall, how much water would the tank contain when it is full?
3,480
area = base area x height
= .....
To find the volume of the tank, which represents the amount of water it can contain when full, we need to multiply the area of the triangular base by the height of the tank.
Step 1: Find the volume of the tank.
The formula for finding the volume of a triangular prism is:
Volume = Area of base * height
In this case, the triangular base has an area of 116 square feet, and the tank's height is 30 feet.
Volume = 116 ft² * 30 ft
Volume = 3480 ft³
So, the tank would contain 3480 cubic feet of water when full.
To find the volume of the tank, we need to multiply the area of the base by the height.
The area of the triangular base is given as 116 square feet. The height of the tank is given as 30 feet.
To find the volume, we multiply the area of the triangular base (116 square feet) by the height (30 feet):
Volume = Area of base × Height
Volume = 116 square feet × 30 feet
Volume = 3480 cubic feet
Therefore, the tank would contain 3480 cubic feet of water when it is full.