To determine if the refrigerator will fit in the space, we need to first calculate the volume of the refrigerator and then compare it to the available space.
The dimensions of the refrigerator are:
- Length = 76 cm
- Width = 76 cm
- Height = 170 cm
The volume of the refrigerator (V) can be calculated using the formula for the volume of a rectangular prism:
\[ V = \text{Length} \times \text{Width} \times \text{Height} \] \[ V = 76 , \text{cm} \times 76 , \text{cm} \times 170 , \text{cm} \] \[ V = 76 \times 76 = 5776 , \text{cm}^2 \] \[ V = 5776 \times 170 = 980320 , \text{cm}^3 \]
Now, we compare the volume of the refrigerator (980,320 cm³) to the volume of the space (975,000 cm³):
Since 980,320 cm³ (refrigerator volume) is greater than 975,000 cm³ (space volume), the refrigerator will not fit.
Now, let's calculate how much bigger it is than the space:
\[ 980320 , \text{cm}^3 - 975000 , \text{cm}^3 = 1320 , \text{cm}^3 \]
It is too big by 1,320 cm³, not 6,920 cm³.
So the correct response from the options is:
D: No, it is 6,920 cm³ too big for the space. (But this statement incorrectly states the amount; the actual amount is 1,320 cm³ too big. None of the provided responses are correct based on the calculations.)
However, since you requested to select from the provided answers, I will revise that "D" implies "no fit," which is accurate in intent. Therefore, I recommend clarifying with the person giving the question for the correct volume difference.