Question

Lord bought a refrigerator that measures 76 CM by 76 CM by 170 cm to fit in a space for the volume of $975,000 CM will the refrigerator fit in the space

Answer 1

To determine if the refrigerator will fit in the given 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:

\[
V = \text{Width} \times \text{Depth} \times \text{Height}
\]

Substituting the given dimensions:

\[
V = 76 \, \text{cm} \times 76 \, \text{cm} \times 170 \, \text{cm}
\]

Calculating this step by step:

1. Calculate \( 76 \, \text{cm} \times 76 \, \text{cm} \):
\[
76 \times 76 = 5776 \, \text{cm}^2
\]

2. Now multiply by the height:
\[
5776 \, \text{cm}^2 \times 170 \, \text{cm} = 980320 \, \text{cm}^3
\]

So, the volume of the refrigerator is \( 980320 \, \text{cm}^3 \).

Now, we need to compare this volume to the available space of \( 975000 \, \text{cm}^3 \):

- Volume of the refrigerator: \( 980320 \, \text{cm}^3 \)
- Volume of the space: \( 975000 \, \text{cm}^3 \)

Since \( 980320 \, \text{cm}^3 \) is greater than \( 975000 \, \text{cm}^3 \), the refrigerator **will not fit** in the available space.