First, we need to calculate the volume of the refrigerator. The volume \( V \) of a rectangular prism (like a refrigerator) can be found using the formula:
\[ V = \text{length} \times \text{width} \times \text{height} \]
In this case, the measurements of the refrigerator are:
- Length = 76 cm
- Width = 76 cm
- Height = 170 cm
So the volume of the refrigerator is:
\[ V = 76 , \text{cm} \times 76 , \text{cm} \times 170 , \text{cm} \]
Calculating that:
\[ V = 76 \times 76 = 5776 , \text{cm}^2 \] Then:
\[ V = 5776 , \text{cm}^2 \times 170 , \text{cm} = 980,920 , \text{cm}^3 \]
Now we compare the volume of the refrigerator with the space available:
- Volume of the refrigerator: \( 980,920 , \text{cm}^3 \)
- Volume of the space: \( 975,000 , \text{cm}^3 \)
Now, we'll find the difference:
\[ 980,920 , \text{cm}^3 - 975,000 , \text{cm}^3 = 5,920 , \text{cm}^3 \]
Since the volume of the refrigerator (980,920 cm³) is greater than the space available (975,000 cm³) by 5,920 cm³, the refrigerator will not fit in the space.
Thus, the correct response is:
No, it is 5,920 cm³ too big for the space.