Joyce has a rectangular pool in her back yard that measures 12 ft 8 in by 8 ft 4 in and has 4 ft of water in it. A cubic foot of water weighs about 62 lb 8 oz. What is the weight in imperial tons of the water in the pool? (Use the conversion that 1 imperial ton=2240 pounds)
Question
Joyce has a rectangular pool in her back yard that measures 12 ft 8 in by 8 ft 4 in and has 4 ft of water in it. A cubic foot of water weighs about 62 lb 8 oz. What is the weight in imperial tons of the water in the pool? (Use the conversion that 1 imperial ton=2240 pounds)
Solution
First, we need to find the volume of the water in the pool. The volume of a rectangular prism (which is what the pool is) is length x width x height.
The pool's dimensions are given in feet and inches, so we need to convert everything to the same units. There are 12 inches in a foot, so 8 inches is 2/3 of a foot. Therefore, the pool's dimensions in feet are 12.67 ft (12 ft 8 in) by 8.33 ft (8 ft 4 in) by 4 ft.
So, the volume of the water in the pool is 12.67 ft x 8.33 ft x 4 ft = 421.6 cubic feet.
Next, we need to find the weight of the water. A cubic foot of water weighs about 62.5 pounds (62 lb 8 oz), so the weight of the water in the pool is 421.6 cubic feet x 62.5 pounds/cubic foot = 26,350 pounds.
Finally, we need to convert this weight to imperial tons. There are 2240 pounds in an imperial ton, so the weight of the water in the pool is 26,350 pounds ÷ 2240 pounds/imperial ton = 11.77 imperial tons.
Similar Questions
When Dale was building his fish pond, he needed a truck to carry away the soil and rocks that he dug from the hole. The hole was 2.4 m by 1.9 m by 1.6 m. The weight of the soil and rocks averages 112 pounds per cubic foot. (Use 1 m = 3.3 ft)What will be the weight, in pounds, of the soil and rocks dug out for the fish pound?(Round your final answer only to the nearest whole number and put no units in the blank.)
a rectangular swimming pool 20m wide ,60 m long and 4m deep ,contains 800m3 of water.How much more water has to be added so that the water level is 30cm from the top?
A small truck weighs approximately 1600 lb. It is loaded with cement slabs that weigh 170 lb each. If the maximum loaded weight of the truck is 3.45 tons, how many slabs can be loaded? (Enter the numbers only with no units.)1) Convert pounds to tons: 1600 lb = __?__ tn
A typical house in the 1950's had a concrete rectangular water cistern in their basement to hold water for all the household needs. The inside dimensions were 10 feet 6 inches by 7 feet by 6 feet 6 inches. If 1 cubic foot of water weighs 62 pounds 8 ounces, calculate the weight of the water to the nearest ton if the cistern was completely filled with water.
A small ferryboat is 3.90 m wide and 5.70 m long. When a loaded truck pulls onto it, the boat sinks an additional 4.30 cm into the river. What is the weight of the truck? kN
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.