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.

1 answer

To determine if the refrigerator fits in the space, we first need to calculate the volume of the refrigerator.

The dimensions of the refrigerator are:

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

The volume \( V \) can be calculated using the formula: \[ V = \text{Width} \times \text{Depth} \times \text{Height} \]

Calculating the volume of the refrigerator: \[ V = 76 , \text{cm} \times 76 , \text{cm} \times 170 , \text{cm} = 76 \times 76 \times 170 \]

Calculating: \[ 76 \times 76 = 5776 , \text{cm}^2 \] \[ 5776 \times 170 = 980920 , \text{cm}^3 \]

Now we compare this volume to the available space volume of 975,000 cm³.

\[ 980920 , \text{cm}^3 > 975000 , \text{cm}^3 \]

The refrigerator has a volume of 980,920 cm³, which is indeed larger than the available space of 975,000 cm³.

Now we can find out how much too big it is: \[ 980920 , \text{cm}^3 - 975000 , \text{cm}^3 = 1920 , \text{cm}^3 \]

Therefore, the refrigerator is 1,920 cm³ too big for the space.

The correct response is: No, it is 1,920 cm³ too big for the space.