Math / Numbers & Operations

QuestionFelipe is making lemonade. He has a container that has a volume of 605 in $^{3}$ to store the lemonade.
Use the table of conversion facts to find out how many gallons of lemonade he should make to completely fill the container.
Round your answer to two decimal places. $\square$ gal
Conversion facts for volume and capacity 1 cubic yard $\left(\mathrm{yd}^{3}\right) \approx 201.97$ gallons (gal) 1 cubic foot $\left(\mathrm{ft}^{3}\right) \approx 7.48$ gallons (gal) 231 cubic inches $\left(\mathrm{in}^{3}\right)=1$ gallon (gal) Note that $\approx$ means "is approximately equal to". For this problem, treat $\approx$ as if it were $=$ .

Studdy Solution

STEP 1

1. The container has a volume of $605 \, \text{in}^3$ .
2. We need to convert cubic inches to gallons using the conversion $231 \, \text{in}^3 = 1 \, \text{gal}$ .
3. The final answer should be rounded to two decimal places.

STEP 2

1. Identify the conversion factor.
2. Set up the conversion calculation.
3. Perform the calculation.
4. Round the result to two decimal places.

STEP 3

Identify the conversion factor from cubic inches to gallons. We have:
$231 \, \text{in}^3 = 1 \, \text{gal}$

STEP 4

Set up the conversion calculation using the given volume of the container:
$\frac{605 \, \text{in}^3}{231 \, \text{in}^3/\text{gal}}$

STEP 5

Perform the calculation to convert the volume from cubic inches to gallons:
$\frac{605}{231} \approx 2.619$

STEP 6

Round the result to two decimal places:
$2.619 \approx 2.62$
The number of gallons of lemonade Felipe should make to completely fill the container is:
$\boxed{2.62 \, \text{gal}}$

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Studdy Solution

STEP 1

1. The container has a volume of $605 \, \text{in}^3$ .
2. We need to convert cubic inches to gallons using the conversion $231 \, \text{in}^3 = 1 \, \text{gal}$ .
3. The final answer should be rounded to two decimal places.

STEP 2

1. Identify the conversion factor.
2. Set up the conversion calculation.
3. Perform the calculation.
4. Round the result to two decimal places.

STEP 3

Identify the conversion factor from cubic inches to gallons. We have:
$231 \, \text{in}^3 = 1 \, \text{gal}$

STEP 4

Set up the conversion calculation using the given volume of the container:
$\frac{605 \, \text{in}^3}{231 \, \text{in}^3/\text{gal}}$

STEP 5

Perform the calculation to convert the volume from cubic inches to gallons:
$\frac{605}{231} \approx 2.619$

STEP 6

Round the result to two decimal places:
$2.619 \approx 2.62$
The number of gallons of lemonade Felipe should make to completely fill the container is:
$\boxed{2.62 \, \text{gal}}$

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Studdy Solution

STEP 1

1. The container has a volume of 605 in3 605 \, \text{in}^3 605in3.2. We need to convert cubic inches to gallons using the conversion 231 in3=1 gal 231 \, \text{in}^3 = 1 \, \text{gal} 231in3=1gal.3. The final answer should be rounded to two decimal places.

STEP 2

1. Identify the conversion factor.2. Set up the conversion calculation.3. Perform the calculation.4. Round the result to two decimal places.

STEP 3

Identify the conversion factor from cubic inches to gallons. We have:231 in3=1 gal 231 \, \text{in}^3 = 1 \, \text{gal} 231in3=1gal

STEP 4

Set up the conversion calculation using the given volume of the container:605 in3231 in3/gal \frac{605 \, \text{in}^3}{231 \, \text{in}^3/\text{gal}} 231in3/gal605in3​

STEP 5

Perform the calculation to convert the volume from cubic inches to gallons:605231≈2.619 \frac{605}{231} \approx 2.619 231605​≈2.619

STEP 6

Round the result to two decimal places:2.619≈2.62 2.619 \approx 2.62 2.619≈2.62 The number of gallons of lemonade Felipe should make to completely fill the container is:2.62 gal\boxed{2.62 \, \text{gal}}2.62gal​

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1. The container has a volume of $605 \, \text{in}^3$ .
2. We need to convert cubic inches to gallons using the conversion $231 \, \text{in}^3 = 1 \, \text{gal}$ .
3. The final answer should be rounded to two decimal places.

1. Identify the conversion factor.
2. Set up the conversion calculation.
3. Perform the calculation.
4. Round the result to two decimal places.

Identify the conversion factor from cubic inches to gallons. We have:
$231 \, \text{in}^3 = 1 \, \text{gal}$

Set up the conversion calculation using the given volume of the container:
$\frac{605 \, \text{in}^3}{231 \, \text{in}^3/\text{gal}}$

Perform the calculation to convert the volume from cubic inches to gallons:
$\frac{605}{231} \approx 2.619$

Round the result to two decimal places:
$2.619 \approx 2.62$
The number of gallons of lemonade Felipe should make to completely fill the container is:
$\boxed{2.62 \, \text{gal}}$