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 volume (V) of the refrigerator can be calculated using the formula for the volume of a rectangular prism:
\[ V = \text{Width} \times \text{Depth} \times \text{Height} \]
Plugging in the dimensions:
\[ V = 76 , \text{cm} \times 76 , \text{cm} \times 170 , \text{cm} \]
Calculating this step-by-step:
- \( 76 \times 76 = 5776 , \text{cm}^2 \)
- \( 5776 \times 170 = 980920 , \text{cm}^3 \)
So, the volume of the refrigerator is \( 980,920 , \text{cm}^3 \).
Now, comparing this with the volume of the space available, which is 975,000 cm³:
- Volume of the refrigerator: 980,920 cm³
- Volume of the space: 975,000 cm³
Since \( 980,920 , \text{cm}^3 > 975,000 , \text{cm}^3 \), the refrigerator does not fit in the available space.
Next, we can calculate how much too big the refrigerator is:
\[ 980,920 , \text{cm}^3 - 975,000 , \text{cm}^3 = 5,920 , \text{cm}^3 \]
Thus, the refrigerator is \( 5,920 , \text{cm}^3 \) too big for the space.
The correct response is: No, it is 5,920 cm³ too big for the space.