To determine if the refrigerator will fit in the space, we need to calculate the volume of the refrigerator and compare it with the volume of the space.
The volume of the refrigerator can be calculated using the formula for the volume of a rectangular prism:
\[ \text{Volume} = \text{Width} \times \text{Depth} \times \text{Height} \]
Substituting the dimensions of the refrigerator:
\[ \text{Volume} = 76 , \text{cm} \times 76 , \text{cm} \times 170 , \text{cm} \]
Calculating that:
\[ \text{Volume} = 76 \times 76 = 5776 , \text{cm}^2 \] \[ \text{Volume} = 5776 \times 170 = 982920 , \text{cm}^3 \]
Now, let's compare the volume of the refrigerator (982,920 cm³) with the volume of the space (975,000 cm³).
\[ 982920 , \text{cm}^3 - 975000 , \text{cm}^3 = 1920 , \text{cm}^3 \]
Since \(982920 , \text{cm}^3\) is greater than \(975000 , \text{cm}^3\), the refrigerator is too large to fit in the space.
Therefore, the correct response is: No, it is 6,920 cm³ too big for the space.