Question

Lloyd bought a refrigerator that measures 76cm x76cm x 170 cm to fit in a space with volume of 975 000 cm 3?
Yes.it will be tight ,but that won't matter
No,it is 6,92o cm3 too small for the space
Yes,it will fit since it is smaller than the space
No it is 6 920 cm too big for the space

Answer 1

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

The volume \( V \) of the refrigerator can be calculated using the formula for the volume of a rectangular prism:

\[
V = \text{length} \times \text{width} \times \text{height}
\]

The dimensions of the refrigerator are:
- Length = 76 cm
- Width = 76 cm
- Height = 170 cm

Calculating the volume:

\[
V = 76 \, \text{cm} \times 76 \, \text{cm} \times 170 \, \text{cm}
\]
\[
V = 76 \times 76 = 5776 \, \text{cm}^2
\]
\[
V = 5776 \times 170 = 980920 \, \text{cm}^3
\]

Now, comparing this volume to the volume of the space:

- Volume of the space = 975000 cm³
- Volume of the refrigerator = 980920 cm³

Now, calculate the difference:

\[
980920 - 975000 = 1920 \, \text{cm}^3
\]

Since the volume of the refrigerator (980920 cm³) is greater than the space (975000 cm³), it will not fit, and it is indeed **1920 cm³ too big** for the space.

So, the correct answer is:
**No, it is 1920 cm³ too big for the space.**