Question

) Lloyd bought a refrigerator that measures 76 cm × 76 cm × 170 cm to fit in a space with a
volume of 975, 000 cm3
. Will the refrigerator fit in the space? Explain.

Answer 1

To determine if the refrigerator will fit in the given space, we first need to calculate the volume of the refrigerator and then compare it to the volume of the space available.

1. **Calculate the volume of the refrigerator:**
The formula for the volume of a rectangular prism (like a refrigerator) is:
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]
For the refrigerator:
- Length = 76 cm
- Width = 76 cm
- Height = 170 cm

Plugging in the values:
\[
\text{Volume} = 76 \, \text{cm} \times 76 \, \text{cm} \times 170 \, \text{cm}
\]
Calculating the volume:
\[
76 \times 76 = 5776 \, \text{cm}^2
\]
Now multiply by the height:
\[
5776 \, \text{cm}^2 \times 170 \, \text{cm} = 980920 \, \text{cm}^3
\]

2. **Compare the volumes:**
The refrigerator has a volume of 980,920 cm³, while the available space has a volume of 975,000 cm³.

- Refrigerator volume = 980,920 cm³
- Available space volume = 975,000 cm³

Since 980,920 cm³ is greater than 975,000 cm³, the refrigerator will not fit in the space.

**Conclusion:**
No, the refrigerator will not fit in the space because its volume (980,920 cm³) exceeds the available volume (975,000 cm³).