To determine if the refrigerator will fit in the space, we need to calculate the volume of the refrigerator and compare it to the volume of the available space.
The volume \( V \) of a rectangular prism (such as the refrigerator) is 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
Calculating the volume of the refrigerator:
\[ V_{refrigerator} = 76 , \text{cm} \times 76 , \text{cm} \times 170 , \text{cm} \]
Calculating:
\[ V_{refrigerator} = 76 \times 76 = 5776 , \text{cm}^2 \text{ (base area)} \] \[ V_{refrigerator} = 5776 \times 170 = 982920 , \text{cm}^3 \]
Now, we compare this volume to the available space:
- Volume of space = 975,000 cm³
- Volume of refrigerator = 982,920 cm³
Since 982,920 cm³ (the volume of the refrigerator) is greater than 975,000 cm³ (the volume of the space), the refrigerator will not fit.
The correct response is:
No, it is 6,920 cm³ too big for the space.