To determine the volume of the refrigerator, we can use the formula for the volume of a rectangular prism:
\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]
Given:
- Length = 76 cm
- Width = 76 cm
- Height = 170 cm
Calculating the volume:
\[ \text{Volume} = 76 , \text{cm} \times 76 , \text{cm} \times 170 , \text{cm} = 76 \times 76 \times 170 \]
Calculating \( 76 \times 76 \):
\[ 76 \times 76 = 5776 \]
Now, multiplying by 170:
\[ 5776 \times 170 = 982920 , \text{cubic centimeters} \]
So, the volume of the refrigerator is: 982920 (cubic centimeters).
Part 2: Will the refrigerator fit in the space?
The space available is 975,000 cubic centimeters, and we just calculated the volume of the refrigerator to be 982,920 cubic centimeters.
Now, to determine if the refrigerator fits:
- Available space: 975,000 cubic centimeters
- Volume of the refrigerator: 982,920 cubic centimeters
Since \( 982920 > 975000 \), the refrigerator will not fit in the space.
Calculating how much more space is needed:
\[ 982920 - 975000 = 1920 , \text{cubic centimeters} \]
Thus, the correct response is:
No, the refrigerator will not fit. It needs at least 1920 cubic centimeters more space.