To determine if the refrigerator will fit in the space, we first need to calculate the volume of the refrigerator.
The dimensions of the refrigerator are:
- Width = 76 cm
- Depth = 76 cm
- Height = 170 cm
The formula for calculating the volume of a rectangular prism (in this case, the refrigerator) is:
\[ \text{Volume} = \text{Width} \times \text{Depth} \times \text{Height} \]
Substituting the values:
\[ \text{Volume} = 76 , \text{cm} \times 76 , \text{cm} \times 170 , \text{cm} = 76 \times 76 \times 170 \]
Calculating it step-by-step:
- \( 76 \times 76 = 5776 , \text{cm}^2 \)
- \( 5776 \times 170 = 980920 , \text{cm}^3 \)
Now, we compare the volume of the refrigerator with the space available:
- Volume of refrigerator = 980920 cm³
- Volume of space = 975000 cm³
Since 980920 cm³ (refrigerator) is greater than 975000 cm³ (space), the refrigerator is too big for the space.
Thus, the correct response is:
No, it is 6,920 cm³ too big for the space.