A large rectangular swimming pool is 1,000 feet long, 100 feet wide, and 10 feet deep. The pool is filled to the top with water.
What is the area of the surface of the water in the pool?
The area of the surface of the water in the pool is equal to the area of the top of the pool.
The length of the pool is 1,000 feet and the width is 100 feet, so the area of the top of the pool is (1,000 feet) * (100 feet) = 100,000 square feet.
Therefore, the area of the surface of the water in the pool is 100,000 square feet.
How much water does the pool hold?
To find the volume of the pool, we need to multiply the length, width, and depth of the pool.
The length of the pool is 1,000 feet, the width is 100 feet, and the depth is 10 feet.
Therefore, the volume of the pool is (1,000 feet) * (100 feet) * (10 feet) = 1,000,000 cubic feet.
Since 1 cubic foot is equal to approximately 7.48 gallons, we can convert the volume into gallons by multiplying it by 7.48.
Therefore, the pool holds approximately 1,000,000 cubic feet * 7.48 gallons/cubic foot = 7,480,000 gallons.
So, the pool holds approximately 7,480,000 gallons of water.
Express your answers to the previous two questions as powers of 10.
The area of the surface of the water in the pool is 1.0 × 10^5 square feet.
The pool holds approximately 7.48 × 10^6 gallons of water.