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Question 1
Lloyd bought a refrigerator that measures with a length of 76 centimeters, a width of 76 centimeters, and height of 170 centimeters. Lloyd plans to place the refrigerator in a space with a volume of 975,000 cubic centimeters.
Freestanding French Door Refrigerator Freezer, 32", 17 cu ft, Ice & Water
(1 point)
Part 1: Determine the volume of the refrigerator (use commas if needed).
cubic centimeters
Question 2
Part 2. Will the refrigerator fit in the space?(1 point)
Responses
Yes, the refrigerator will fit with 6,920 cubic centimeters of space left.
Yes, the refrigerator will fit with 6,920 cubic centimeters of space left.
Yes, the refrigerator will fit with 50 cubic centimeters of space left.
Yes, the refrigerator will fit with 50 cubic centimeters of space left.
No, the refrigerator will not fit. It needs at least 6,920 cubic centimeters more space.
No, the refrigerator will not fit. It needs at least 6,920 cubic centimeters more space.
No, the refrigerator will not fit. It needs at least 50 cubic centimeters more space.
No, the refrigerator will not fit. It needs at least 50 cubic centimeters more space.
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2 of 72 of 7 Items
Question 1
Lloyd bought a refrigerator that measures with a length of 76 centimeters, a width of 76 centimeters, and height of 170 centimeters. Lloyd plans to place the refrigerator in a space with a volume of 975,000 cubic centimeters.
Freestanding French Door Refrigerator Freezer, 32", 17 cu ft, Ice & Water
(1 point)
Part 1: Determine the volume of the refrigerator (use commas if needed).
cubic centimeters
Question 2
Part 2. Will the refrigerator fit in the space?(1 point)
Responses
Yes, the refrigerator will fit with 6,920 cubic centimeters of space left.
Yes, the refrigerator will fit with 6,920 cubic centimeters of space left.
Yes, the refrigerator will fit with 50 cubic centimeters of space left.
Yes, the refrigerator will fit with 50 cubic centimeters of space left.
No, the refrigerator will not fit. It needs at least 6,920 cubic centimeters more space.
No, the refrigerator will not fit. It needs at least 6,920 cubic centimeters more space.
No, the refrigerator will not fit. It needs at least 50 cubic centimeters more space.
No, the refrigerator will not fit. It needs at least 50 cubic centimeters more space.
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Answers
Answered by
GPT-4o mini
To determine whether Lloyd's refrigerator will fit in the space, we need to calculate the volume of the refrigerator first.
### Question 1: Calculate the Volume of the Refrigerator
To calculate the volume \( V \) of a rectangular prism (which a refrigerator is), we use the formula:
\[
V = \text{length} \times \text{width} \times \text{height}
\]
Given dimensions are:
- Length = 76 cm
- Width = 76 cm
- Height = 170 cm
Substituting these values into the formula:
\[
V = 76 \, \text{cm} \times 76 \, \text{cm} \times 170 \, \text{cm}
\]
Calculating step-by-step:
1. Calculate \( 76 \times 76 \):
\[
76 \times 76 = 5776 \, \text{cm}^2
\]
2. Now multiply by 170:
\[
5776 \, \text{cm}^2 \times 170 \, \text{cm} = 980320 \, \text{cm}^3
\]
Thus, the volume of the refrigerator is **980,320 cubic centimeters**.
### Question 2: Will the Refrigerator Fit in the Space?
Now we compare the volume of the refrigerator to the space available.
- Volume of the space = 975,000 cubic centimeters
- Volume of the refrigerator = 980,320 cubic centimeters
Since 980,320 cubic centimeters (volume of the refrigerator) is greater than 975,000 cubic centimeters (volume of the space):
\[
980320 \, \text{cm}^3 > 975000 \, \text{cm}^3
\]
The refrigerator does not fit in the space.
### Final Answers:
1. Volume of the refrigerator: **980,320 cubic centimeters**
2. Will the refrigerator fit?
- **No, the refrigerator will not fit. It needs at least 5,320 cubic centimeters more space.** (This is because 980,320 - 975,000 = 5,320)
### Question 1: Calculate the Volume of the Refrigerator
To calculate the volume \( V \) of a rectangular prism (which a refrigerator is), we use the formula:
\[
V = \text{length} \times \text{width} \times \text{height}
\]
Given dimensions are:
- Length = 76 cm
- Width = 76 cm
- Height = 170 cm
Substituting these values into the formula:
\[
V = 76 \, \text{cm} \times 76 \, \text{cm} \times 170 \, \text{cm}
\]
Calculating step-by-step:
1. Calculate \( 76 \times 76 \):
\[
76 \times 76 = 5776 \, \text{cm}^2
\]
2. Now multiply by 170:
\[
5776 \, \text{cm}^2 \times 170 \, \text{cm} = 980320 \, \text{cm}^3
\]
Thus, the volume of the refrigerator is **980,320 cubic centimeters**.
### Question 2: Will the Refrigerator Fit in the Space?
Now we compare the volume of the refrigerator to the space available.
- Volume of the space = 975,000 cubic centimeters
- Volume of the refrigerator = 980,320 cubic centimeters
Since 980,320 cubic centimeters (volume of the refrigerator) is greater than 975,000 cubic centimeters (volume of the space):
\[
980320 \, \text{cm}^3 > 975000 \, \text{cm}^3
\]
The refrigerator does not fit in the space.
### Final Answers:
1. Volume of the refrigerator: **980,320 cubic centimeters**
2. Will the refrigerator fit?
- **No, the refrigerator will not fit. It needs at least 5,320 cubic centimeters more space.** (This is because 980,320 - 975,000 = 5,320)
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