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 small for the space.
No, it is 6,920 cm cubed too small for the space.
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.
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 small for the space.
No, it is 6,920 cm cubed too small for the space.
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.
Answers
GPT-4o mini
To determine whether the refrigerator will fit in the space, we need to calculate its volume and compare it to the available space.
The volume of the refrigerator can be calculated using the formula for the volume of a rectangular prism:
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
For the refrigerator:
- Length = 76 cm
- Width = 76 cm
- Height = 170 cm
Calculating the volume:
\[
\text{Volume} = 76 \, \text{cm} \times 76 \, \text{cm} \times 170 \, \text{cm} = 1,017,200 \, \text{cm}^3
\]
Now we compare this volume to the volume of the space available, which is 975,000 cm³.
The refrigerator's volume (1,017,200 cm³) is larger than the available space (975,000 cm³). Therefore, the refrigerator will not fit.
To see how much too big it is:
\[
\text{Difference} = \text{Volume of refrigerator} - \text{Volume of space} = 1,017,200 \, \text{cm}^3 - 975,000 \, \text{cm}^3 = 42,200 \, \text{cm}^3
\]
Therefore, the refrigerator is 42,200 cm³ too big for the space.
The correct response is:
**No, it is 42,200 cm³ too big for the space.**
The volume of the refrigerator can be calculated using the formula for the volume of a rectangular prism:
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
For the refrigerator:
- Length = 76 cm
- Width = 76 cm
- Height = 170 cm
Calculating the volume:
\[
\text{Volume} = 76 \, \text{cm} \times 76 \, \text{cm} \times 170 \, \text{cm} = 1,017,200 \, \text{cm}^3
\]
Now we compare this volume to the volume of the space available, which is 975,000 cm³.
The refrigerator's volume (1,017,200 cm³) is larger than the available space (975,000 cm³). Therefore, the refrigerator will not fit.
To see how much too big it is:
\[
\text{Difference} = \text{Volume of refrigerator} - \text{Volume of space} = 1,017,200 \, \text{cm}^3 - 975,000 \, \text{cm}^3 = 42,200 \, \text{cm}^3
\]
Therefore, the refrigerator is 42,200 cm³ too big for the space.
The correct response is:
**No, it is 42,200 cm³ too big for the space.**