High School

An experimenter needs to fill a rectangular container with isopropanol. The dimensions of the container are 75.2 cm by 41.6 cm by 98.5 cm. The cost of isopropanol is $151.31 for every 3.149 gallons. What is the cost of filling the rectangular container with isopropanol?

Answer :

The cost of filling the rectangular container with isopropanol is $4018.17.

To calculate the cost of filling the rectangular container with isopropanol, we need to find the volume of the container and then determine how many units of 3.149 gallons of isopropanol are needed to fill that volume. Finally, we'll multiply the number of units by the cost per unit.

the dimensions of the rectangular container:

Length (l) = 75.2 cm

Width (w) = 41.6 cm

Height (h) = 98.5 cm

Volume of the container (V) = l × w × h

V = 75.2 cm × 41.6 cm × 98.5 cm = 316685.12 cm³

Now, let's convert the volume from cubic centimeters to gallons:

1 gallon = 3785.41 cm³

Volume in gallons = V / 3785.41 cm³/gallon

Volume in gallons ≈ 316685.12 cm³ / 3785.41 cm³/gallon ≈ 83.67 gallons

Since each unit of isopropanol is 3.149 gallons, we need to calculate how many units are needed:

Number of units = Volume in gallons / 3.149 gallons/unit

Number of units ≈ 83.67 gallons / 3.149 gallons/unit ≈ 26.55 units

Now, multiply the number of units by the cost per unit:

Total cost = Number of units × Cost per unit

Total cost ≈ 26.55 units × $151.31/unit ≈ $4018.17

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