Lloyd bought a refrigerator that measures 76 cm. x 76 cm. x 170 cm. to fit in a space with a volume of 975,000 cm. 3

.

Will the refrigerator fit in the space?

(1 point)
Responses

Yes, it will fit since it is smaller than the space.
Yes, it will fit since it is smaller than the space.

No, it is 6,920 cm.3
too small for the space.
No, it is 6,920 cm.3 too small for 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 big for the space.
No, it is 6,920 cm3 too big for the space.
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1 answer

To determine if the refrigerator will fit in the space, we need to calculate the volume of the refrigerator and compare it to the volume of the available space.

  1. Calculate the volume of the refrigerator: \[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \] \[ \text{Volume} = 76 , \text{cm} \times 76 , \text{cm} \times 170 , \text{cm} \] \[ \text{Volume} = 76 \times 76 \times 170 = 1,007,120 , \text{cm}^3 \]

  2. Compare it to the space volume: The available space has a volume of 975,000 cm³.

Now we can see:

\[ 1,007,120 , \text{cm}^3 - 975,000 , \text{cm}^3 = 32,120 , \text{cm}^3 \]

This means the refrigerator is 32,120 cm³ too big for the available space.

So the correct response would be:

No, it is 32,120 cm³ too big for the space.