To determine if the refrigerator will fit in the given space, we first need to calculate the volume of the refrigerator.
The volume of a rectangular prism (which is the shape of the refrigerator) is calculated using the formula:
\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]
For the refrigerator:
- Length = 76 cm
- Width = 76 cm
- Height = 170 cm
Now we calculate the volume:
\[ \text{Volume}_{\text{refrigerator}} = 76 , \text{cm} \times 76 , \text{cm} \times 170 , \text{cm} \]
Calculating this step by step:
- \( 76 , \text{cm} \times 76 , \text{cm} = 5776 , \text{cm}^2 \)
- Now multiply \( 5776 , \text{cm}^2 \) by \( 170 , \text{cm} \): \[ 5776 , \text{cm}^2 \times 170 , \text{cm} = 981920 , \text{cm}^3 \]
So, the volume of the refrigerator is \( 981920 , \text{cm}^3 \).
The space available is \( 975000 , \text{cm}^3 \).
Now we compare the two volumes:
- Refrigerator volume: \( 981920 , \text{cm}^3 \)
- Space volume: \( 975000 , \text{cm}^3 \)
Since \( 981920 , \text{cm}^3 \) (the volume of the refrigerator) is greater than \( 975000 , \text{cm}^3 \) (the volume of the space), the refrigerator will not fit in the space.
To find out how much too big it is, we can subtract the space volume from the refrigerator volume:
\[ 981920 , \text{cm}^3 - 975000 , \text{cm}^3 = 1920 , \text{cm}^3 \]
Therefore, the refrigerator is 1920 cm³ too big for the space.
The correct response would be: "No, it is 1,920 cm³ too big for the space." Note that this response is not listed in your options, so it seems like there may be a discrepancy in the question or choices given.