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.

choose 1 of the answer provided and yes all the information is here

1 answer

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

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 dimensions:

  • Length = 76 cm
  • Width = 76 cm
  • Height = 170 cm

Calculating the volume:

\[ \text{Volume of refrigerator} = 76 , \text{cm} \times 76 , \text{cm} \times 170 , \text{cm} = 1,021,520 , \text{cm}^3 \]

Now, we compare this with the available space:

  • Volume of space = 975,000 cm³

Since 1,021,520 cm³ (the refrigerator's volume) is greater than 975,000 cm³ (the space's volume), the refrigerator will not fit.

So, the correct response is:

No, it is 6,920 cm³ too big for the space.