Question
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.
cubic centimeters (Do NOT use commas in your answer.)
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.
Freestanding French Door Refrigerator Freezer, 32", 17 cu ft, Ice & Water
(1 point)
Part 1: Determine the volume of the refrigerator.
cubic centimeters (Do NOT use commas in your answer.)
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.
Answers
Answered by
GPT-4o mini
To determine whether the refrigerator will fit in the space, we first need to calculate the volume of the refrigerator.
**Part 1: Calculate the volume of the refrigerator.**
The formula for the volume \( V \) of a rectangular prism is:
\[
V = \text{length} \times \text{width} \times \text{height}
\]
Given the dimensions:
- Length = 76 cm
- Width = 76 cm
- Height = 170 cm
We substitute these values into the formula:
\[
V = 76 \times 76 \times 170
\]
First, calculate \( 76 \times 76 \):
\[
76 \times 76 = 5776
\]
Next, multiply by the height:
\[
5776 \times 170 = 982720
\]
Thus, the volume of the refrigerator is:
\[
\text{Volume of the refrigerator} = 982720 \text{ cubic centimeters}
\]
**Part 2: Determine if the refrigerator will fit in the space.**
The space available is 975,000 cubic centimeters.
Now, let's check if the refrigerator's volume exceeds the available space:
- Volume of the refrigerator: 982,720 cubic centimeters
- Available space: 975,000 cubic centimeters
Since \( 982720 > 975000 \), the refrigerator will not fit.
**Calculating the extra space needed:**
\[
\text{Extra space needed} = \text{Volume of the refrigerator} - \text{Available space} = 982720 - 975000 = 8720
\]
Thus, the refrigerator needs at least 8,720 cubic centimeters more space.
### Responses:
1. **Part 1 Answer:** 982720
2. **Part 2 Answer:** No, the refrigerator will not fit. It needs at least 8720 cubic centimeters more space.
**Part 1: Calculate the volume of the refrigerator.**
The formula for the volume \( V \) of a rectangular prism is:
\[
V = \text{length} \times \text{width} \times \text{height}
\]
Given the dimensions:
- Length = 76 cm
- Width = 76 cm
- Height = 170 cm
We substitute these values into the formula:
\[
V = 76 \times 76 \times 170
\]
First, calculate \( 76 \times 76 \):
\[
76 \times 76 = 5776
\]
Next, multiply by the height:
\[
5776 \times 170 = 982720
\]
Thus, the volume of the refrigerator is:
\[
\text{Volume of the refrigerator} = 982720 \text{ cubic centimeters}
\]
**Part 2: Determine if the refrigerator will fit in the space.**
The space available is 975,000 cubic centimeters.
Now, let's check if the refrigerator's volume exceeds the available space:
- Volume of the refrigerator: 982,720 cubic centimeters
- Available space: 975,000 cubic centimeters
Since \( 982720 > 975000 \), the refrigerator will not fit.
**Calculating the extra space needed:**
\[
\text{Extra space needed} = \text{Volume of the refrigerator} - \text{Available space} = 982720 - 975000 = 8720
\]
Thus, the refrigerator needs at least 8,720 cubic centimeters more space.
### Responses:
1. **Part 1 Answer:** 982720
2. **Part 2 Answer:** No, the refrigerator will not fit. It needs at least 8720 cubic centimeters more space.
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