Final answer:
To determine how much water a quarter-full tank can hold, multiply the length, width, and height to find the total volume and then divide by 4. For the given dimensions of 19.3 ft by 7.6 ft by 5.1 ft, the tank would hold approximately 186.633 cubic feet of water when a quarter full.
Step-by-step explanation:
The student's question concerns the volume of a right rectangular prism, which represents a water tank, and how much water it would hold when the tank is one-quarter full. The dimensions of the tank are provided as 19.3 ft by 7.6 ft by 5.1 ft.
Firstly, we need to calculate the total volume of the tank by multiplying its length, width, and height:
Total volume = length × width × height
Total volume = 19.3 ft × 7.6 ft × 5.1 ft
Total volume = 746.532 cubic feet
Since we are interested in the volume when the tank is a quarter full, we simply divide the total volume by 4:
Volume when a quarter full = Total volume / 4
Volume when a quarter full = 746.532 cubic feet / 4
Volume when a quarter full = 186.633 cubic feet
Thus, the tank would hold approximately 186.633 cubic feet of water when it is a quarter full.