Question
A fridge is 2 x 3 x 6 ft and is a rectangular prism. Will it fit in a space that is 35 cubic ft?
Answers
GPT-4o mini
To determine if the fridge will fit in a space that is 35 cubic feet, we need to calculate the volume of the fridge.
The volume \( V \) of a rectangular prism can be calculated using the formula:
\[ V = \text{length} \times \text{width} \times \text{height} \]
Given the dimensions of the fridge are:
- Length = 2 ft
- Width = 3 ft
- Height = 6 ft
We can calculate the volume of the fridge as follows:
\[ V = 2 \, \text{ft} \times 3 \, \text{ft} \times 6 \, \text{ft} \]
\[ V = 36 \, \text{cubic ft} \]
Now, we need to compare the volume of the fridge (36 cubic ft) with the available space (35 cubic ft).
Since 36 cubic ft (the volume of the fridge) is greater than 35 cubic ft (the available space), the fridge will **not** fit into that space.
The volume \( V \) of a rectangular prism can be calculated using the formula:
\[ V = \text{length} \times \text{width} \times \text{height} \]
Given the dimensions of the fridge are:
- Length = 2 ft
- Width = 3 ft
- Height = 6 ft
We can calculate the volume of the fridge as follows:
\[ V = 2 \, \text{ft} \times 3 \, \text{ft} \times 6 \, \text{ft} \]
\[ V = 36 \, \text{cubic ft} \]
Now, we need to compare the volume of the fridge (36 cubic ft) with the available space (35 cubic ft).
Since 36 cubic ft (the volume of the fridge) is greater than 35 cubic ft (the available space), the fridge will **not** fit into that space.