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Svetlanka [38]
4 years ago
14

Winnie poured 14 cups of water into a rectangular container measuring 13 inches by 7 inches by 6 centimeters. [1 cup = 14.44 cub

ic inches; 1 inch = 2.54 cm] Part A: What is the maximum volume of water that the rectangular container can hold? Show your work. (3 points) Part B: How many cubic inches of water was poured into the container? (3 points) Part C: What was the height of the water in the container? Show your work. (4 points)
Mathematics
1 answer:
Alex_Xolod [135]4 years ago
8 0
Part A: 
<span>Max volume = Volume of container = 13 in x 7 in x 6 in = 546 in^3 </span>

<span>Part B: </span>
<span>1 cup = 14.4375 in^3 </span>
<span>
14 cups = 14.4375 in^3 x 7 = 202.125 in^3 </span>

<span>Part C: </span>
<span>Height of water = (202.125 in^3)/(13 in x 7 in) = 2.22 in.</span>
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<h3>What are gallons?</h3>

A gallon is a British unit which is used for the measurement of liquids that is equal to eight pints. In Britain, it is equal to about 4.546 litres. In America, it is equal to about 3.785 litres.

It is given in the question that:-

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Jason's pool already contains 200 gallons, and he fills it at a rate of 2 gallons per minute.

After 20 minutes the amount of liquid in the tank will be:-

For Richard = 6 gallons per minute. x  20  minutes= 120 gallons

For Jason= 2 gallons per minute  x  20  =40 gallons

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So it will become = 200+24=240 gallons.

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2 years ago
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tresset_1 [31]

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3 years ago
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ella [17]

Step-by-step explanation:

Let the width be x feet.

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2(2x - 10 + x) = 52 \\ 2(3x - 10) = 52 \\ \therefore \:  3x - 10 =  \frac{52}{2} \\ \therefore \:  3x - 10 = 26\\ \therefore \:  3x = 26 + 10\\ \therefore \:  3x = 36 \\ \therefore \:  x =  \frac{36}{3} \\ \therefore \:  x =  12 \\ \purple{ \boxed{\therefore \: width \: of \: rectangle = 12 \: feet }}

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