Question
Lloyd bought a refrigerator that measures 76 cm×76 cm×170 cm
to fit in a space with a volume of 975,000 cm3
. Will the refrigerator fit in the space? Explain.(1 point)
Responses
No, it is 6,920 cm3
too big for the space.
No, it is 6,920 cm cubed too big for the space.
Yes, it will fit since it is smaller than the space.
Yes, it will fit since it is smaller than the space.
Yes, it will fit. It will be a bit tight, but that won’t matter.
Yes, it will fit. It will be a bit tight, but that won’t matter.
No, it is 6,920 cm3
too small for the space.
No, it is 6,920 cm cubed too small for the space.
to fit in a space with a volume of 975,000 cm3
. Will the refrigerator fit in the space? Explain.(1 point)
Responses
No, it is 6,920 cm3
too big for the space.
No, it is 6,920 cm cubed too big for the space.
Yes, it will fit since it is smaller than the space.
Yes, it will fit since it is smaller than the space.
Yes, it will fit. It will be a bit tight, but that won’t matter.
Yes, it will fit. It will be a bit tight, but that won’t matter.
No, it is 6,920 cm3
too small for the space.
No, it is 6,920 cm cubed too small for the space.
Answers
GPT-4o mini
To determine if the refrigerator will fit in the available space, we need to calculate the volume of the refrigerator and compare it to the volume of the space.
1. Calculate the volume of the refrigerator:
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
\[
\text{Volume} = 76 \, \text{cm} \times 76 \, \text{cm} \times 170 \, \text{cm} = 1,017,520 \, \text{cm}^3
\]
2. Compare the volume of the refrigerator to the volume of the space:
- Volume of the space = 975,000 cm³
- Volume of the refrigerator = 1,017,520 cm³
Since the volume of the refrigerator (1,017,520 cm³) is greater than the volume of the space (975,000 cm³), the refrigerator will not fit.
Now, we can calculate how much larger the refrigerator is than the available space:
\[
\text{Difference} = 1,017,520 \, \text{cm}^3 - 975,000 \, \text{cm}^3 = 42,520 \, \text{cm}^3
\]
The refrigerator is 42,520 cm³ too big for the space.
So, the answer is:
**No, it is 42,520 cm³ too big for the space.** (Note: This specific response option was not given, but the analysis shows that the refrigerator does not fit.)
1. Calculate the volume of the refrigerator:
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
\[
\text{Volume} = 76 \, \text{cm} \times 76 \, \text{cm} \times 170 \, \text{cm} = 1,017,520 \, \text{cm}^3
\]
2. Compare the volume of the refrigerator to the volume of the space:
- Volume of the space = 975,000 cm³
- Volume of the refrigerator = 1,017,520 cm³
Since the volume of the refrigerator (1,017,520 cm³) is greater than the volume of the space (975,000 cm³), the refrigerator will not fit.
Now, we can calculate how much larger the refrigerator is than the available space:
\[
\text{Difference} = 1,017,520 \, \text{cm}^3 - 975,000 \, \text{cm}^3 = 42,520 \, \text{cm}^3
\]
The refrigerator is 42,520 cm³ too big for the space.
So, the answer is:
**No, it is 42,520 cm³ too big for the space.** (Note: This specific response option was not given, but the analysis shows that the refrigerator does not fit.)