A water tank is built in the form of a right rectangular prism, with dimensions that measure 13.4 ft by 8.7 ft by 7.5 ft . How many cubic feet of water would it hold when it is full? Round your answer to the nearest tenth if necessary.

To find the volume of the water tank, you simply multiply the three dimensions together. So, the volume \( V \) can be calculated as: \[ V = \text{length} \times \text{width} \times \text{height} \] \[ V = 13.4 \, \text{ft} \times 8.7 \, \text{ft} \times 7.5 \, \text{ft} \] Calculating this gives: \[ V = 13.4 \times 8.7 \times 7.5 = 1,094.25 \, \text{cubic feet} \] Rounding this to the nearest tenth, the tank holds approximately **1,094.3 cubic feet** of water when full. Now, imagine this tank filled to the brim – that's a lot of water! You could potentially fill around 8,000 water bottles (16.9 oz each) with that - definitely enough to keep a party well-hydrated! Additionally, if you're considering installing such a tank or calculating size for your needs, take into account the space it requires and the potential weight of the water (each cubic foot weighs roughly 62.4 pounds). That's over 68,000 pounds when full – a serious consideration for structural support!