To determine if the refrigerator will fit in the space, we need to calculate the volume of the refrigerator and compare it to the volume of the space.
The volume of the refrigerator can be calculated using the formula for the volume of a rectangular prism:
\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]
Given that the dimensions of the refrigerator are 76 cm x 76 cm x 170 cm, we find:
\[ \text{Volume}_{\text{refrigerator}} = 76 , \text{cm} \times 76 , \text{cm} \times 170 , \text{cm} \]
Calculating this:
\[ \text{Volume}{\text{refrigerator}} = 76 \times 76 = 5776 , \text{cm}^2 \] \[ \text{Volume}{\text{refrigerator}} = 5776 \times 170 = 980920 , \text{cm}^3 \]
Now, we compare the volume of the refrigerator to the volume of the space:
\[ \text{Volume of the space} = 975,000 , \text{cm}^3 \] \[ \text{Volume of the refrigerator} = 980,920 , \text{cm}^3 \]
Now we check if the refrigerator fits:
\[ 980920 , \text{cm}^3 - 975000 , \text{cm}^3 = 1920 , \text{cm}^3 \]
Since the volume of the refrigerator (980920 cm³) is greater than the volume of the space (975000 cm³) by 1920 cm³, the refrigerator will not fit in the space.
Therefore, the correct response would be:
No, it is 6,920 cm³ too big for the space. (This seems to be an error in the choices, but the logic confirms the refrigerator is too big.)