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

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 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. It will be a bit tight, but that won’t matter.

1 answer

To determine if Lloyd's refrigerator will fit in the given space, we first need to calculate the volume of the refrigerator.

The dimensions of the refrigerator are:

  • Height = 170 cm
  • Width = 76 cm
  • Depth = 76 cm

The volume of the refrigerator can be calculated using the formula for the volume of a rectangular prism: \[ \text{Volume} = \text{Height} \times \text{Width} \times \text{Depth} \] Plugging in the dimensions: \[ \text{Volume} = 170 , \text{cm} \times 76 , \text{cm} \times 76 , \text{cm} \] Calculating that gives us: \[ \text{Volume} = 170 \times 76 \times 76 = 1,030,720 , \text{cm}^3 \]

Now we will compare this volume to the available space:

  • Available space volume = 975,000 cm³

Since the refrigerator's volume (1,030,720 cm³) is greater than the available space (975,000 cm³), it will not fit.

Therefore, the correct response is: No, it is 6,720 cm³ too big for the space.