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777dan777 [17]
3 years ago
12

The figure shows a gas tank in the form of a rectangular prism that is 40% full. How many more gallons of gas will it take to fi

ll the tank? (1 gallon = 231 in.3)

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
7 0

Answer:

10.8 gallons

Step-by-step explanation:

First change everything to inches:

2.75 ft = 33 in

1.5 ft = 18 in

Volume of tank = lwh = (33)(18)(7) = 4158 in³

The tank is 40% full, so only 60% is need to fill it. To find 60%, multiply 4158 by 0.6 = 2494.8 in³

Now find out how much 2494.8 in³ is in gallons:

231 in³ = 1 gallon

1 in³ = 1/231 gallons

2494.8 = (1/231)(2494.8) gallons = 10.8 gallons

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Ice has a density of 0.92 g/cm3. What is the volume of 100 grams of ice? If the ice completely melted, what would the volume of
kicyunya [14]

Hello!

To find the volume of the water, we would need to use the density formula. The density formula is d = m/V.

In this formula, d is the density, m is the mass and V is the volume.

1. To find the volume of 100 grams of ice, we substitute the appropriate values into the formula and solve for the volume using basic algebra.

0.92g/cm³ = 100g/V (multiply both sides by V)

0.92g/cm³ · V = 100g (divide both sides by 0.92g/cm³)

V = 108.69 cm³.

The volume of 100 grams of ice is about 108.69 cm³.

2. To find the volume of the completely melted ice, we would use the same formula, but the density is now 1.00 g/mL.

1.00g/mL = 100g/V (multiply both sides by V)

1.00g/mL · V = 100g (divide both sides by 1.00g/mL)

V = 100 mL

Therefore, the volume of the melted ice is 100 mL.

<u>Final answers</u>:

  1. 108.69 g/cm³
  2. 100 mL
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Step-by-step explanation:

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