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 7 feet 6 inches by 8 feet 6 inches by 8 feet. If 1 cubic foot of water weighs 74 pounds, calculate the weight of the water to the neearest TENTH of a ton if the cistern was completely filled with water.
Question
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 7 feet 6 inches by 8 feet 6 inches by 8 feet. If 1 cubic foot of water weighs 74 pounds, calculate the weight of the water to the neearest TENTH of a ton if the cistern was completely filled with water.
Solution
Sure, let's break this down step by step:
-
First, we need to find the volume of the cistern in cubic feet. The dimensions are given in feet and inches, so we need to convert the inches to feet. There are 12 inches in a foot, so 6 inches is 0.5 feet. Therefore, the dimensions in feet are 7.5 feet by 8.5 feet by 8 feet.
-
The volume of a rectangular prism (which is what this cistern is) is length x width x height. So, we multiply these dimensions together to get the volume: 7.5 feet * 8.5 feet * 8 feet = 510 cubic feet.
-
We know that 1 cubic foot of water weighs 74 pounds. So, the total weight of the water is 510 cubic feet * 74 pounds/cubic foot = 37,740 pounds.
-
We want the weight in tons, and there are 2000 pounds in a ton. So, we divide the weight in pounds by 2000 to get the weight in tons: 37,740 pounds ÷ 2000 = 18.87 tons.
So, the weight of the water to the nearest tenth of a ton is 18.9 tons.
Similar Questions
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 9 feet 3 inches by 8 feet 8 inches by 6 feet 9 inches. If the cistern was completely filled with water what was the volume to the nearest HUNDREDTH number in cubic feet?
An overhead tank is in the shape of a cylinder (radius 60 cm, height 95 cm). Water is supplied to it from an underground tank, which is in the shape of a cuboid with dimensions 1.57 m x 1.44 m x 95 cm and is initially full. Find the volume of water left in the underground tank after the overhead tank has been completely filled.
A rectangular water tank measures 180cm long, 1.3m wide and 1.2m high. The tank contains 865.8kg of water.Calculate the amount of water, in litres, needed to fill up the tank.
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)
One litre of water weighs 1 kg, and one liter equals 1000 cubic cm. An aquarium is 1.9 m by 2.5 m by 0.6 m. If it is filled with water, what is the weight of the water in the tank?
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.