To determine if the refrigerator will fit in the given space, we need to calculate the volume of the refrigerator and compare it to the volume of the space.
Volume of the refrigerator: The volume \( V \) of a rectangular prism (like the refrigerator) can be calculated using the formula: \[ V = \text{length} \times \text{width} \times \text{height} \]
For the refrigerator:
- Length = 76 cm
- Width = 76 cm
- Height = 170 cm
So, \[ V = 76 , \text{cm} \times 76 , \text{cm} \times 170 , \text{cm} = 76 \times 76 \times 170 = 1,020,320 , \text{cm}^3 \]
Volume of the space: The volume of the space is given as:
- Volume of space = 975,000 cm³
Comparison:
- Volume of the refrigerator = 1,020,320 cm³
- Volume of the space = 975,000 cm³
Now, we compare the two volumes: 1,020,320 cm³ (refrigerator) - 975,000 cm³ (space) = 45,320 cm³
The refrigerator is too big for the space.
Thus, the correct response is: No, it is 45,320 cm³ too big for the space.