High School

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Andre is filling his cooler with ice water. If 1 gallon is approximately 231 cubic inches, about how many gallons of water does the cooler hold?

Dimensions of the cooler:
- Height: 14 inches
- Length: 26 inches
- Width: 12 inches

Choose the correct option:

A. 19 gallons
B. 38 gallons
C. 76 gallons
D. 87 gallons

Answer :

First, we calculate the volume of the cooler. The volume [tex]$V$[/tex] for a rectangular prism is given by

[tex]$$
V = \text{length} \times \text{width} \times \text{height}.
$$[/tex]

Substituting the given dimensions:

[tex]$$
V = 14 \, \text{in} \times 26 \, \text{in} \times 12 \, \text{in} = 4368 \, \text{cubic inches}.
$$[/tex]

Next, we use the conversion factor that [tex]$1$[/tex] gallon is approximately [tex]$231$[/tex] cubic inches. Thus, the number of gallons the cooler holds is

[tex]$$
\text{Number of gallons} = \frac{4368}{231} \approx 18.91.
$$[/tex]

Since the question asks for about how many gallons the cooler holds, we round the result to the nearest whole number. Rounding [tex]$18.91$[/tex] gives

[tex]$$
\text{Rounded gallons} = 19.
$$[/tex]

Thus, the cooler holds approximately [tex]$19$[/tex] gallons of water.

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