Question
Fridge is 2 x 3 x 6 ft and is a rectangular prism. Will it fit in a space that is 35 cubic feet?
Show your work in VERY simple and short terms
Show your work in VERY simple and short terms
Answers
GPT-4o mini
To determine if the fridge fits in a space of 35 cubic feet, we first need to calculate the volume of the fridge.
The volume \( V \) of a rectangular prism is calculated with the formula:
\[ V = \text{length} \times \text{width} \times \text{height} \]
For the fridge:
- Length = 6 ft
- Width = 3 ft
- Height = 2 ft
Now, calculate the volume:
\[ V = 6 \, \text{ft} \times 3 \, \text{ft} \times 2 \, \text{ft} \]
\[ V = 36 \, \text{cubic feet} \]
Now, we compare the fridge's volume to the available space:
- Fridge volume = 36 cubic feet
- Available space = 35 cubic feet
Since 36 cubic feet > 35 cubic feet, **the fridge will not fit in the 35 cubic foot space**.
The volume \( V \) of a rectangular prism is calculated with the formula:
\[ V = \text{length} \times \text{width} \times \text{height} \]
For the fridge:
- Length = 6 ft
- Width = 3 ft
- Height = 2 ft
Now, calculate the volume:
\[ V = 6 \, \text{ft} \times 3 \, \text{ft} \times 2 \, \text{ft} \]
\[ V = 36 \, \text{cubic feet} \]
Now, we compare the fridge's volume to the available space:
- Fridge volume = 36 cubic feet
- Available space = 35 cubic feet
Since 36 cubic feet > 35 cubic feet, **the fridge will not fit in the 35 cubic foot space**.