Question
Kyle has a storage that is 2 ft. long, 3 ft. high, and has a volume of 12 ft.3 what is the width of the box? explain how u found the width.
Answers
GPT-4o mini
To find the width of the box, we can use the formula for the volume of a rectangular prism (box), which is:
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]
We are given:
- Volume = 12 ft³
- Length = 2 ft
- Height = 3 ft
We need to find the width (let's call it \( w \)). Plugging the values we have into the volume formula, we get:
\[
12 = 2 \times w \times 3
\]
Now, we can simplify the right side:
\[
12 = 6w
\]
Next, to isolate \( w \), we divide both sides by 6:
\[
w = \frac{12}{6} = 2
\]
Therefore, the width of the box is \( 2 \) ft.
In summary, I found the width by using the volume formula for a rectangular prism and substituting the known values to solve for the width.
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\]
We are given:
- Volume = 12 ft³
- Length = 2 ft
- Height = 3 ft
We need to find the width (let's call it \( w \)). Plugging the values we have into the volume formula, we get:
\[
12 = 2 \times w \times 3
\]
Now, we can simplify the right side:
\[
12 = 6w
\]
Next, to isolate \( w \), we divide both sides by 6:
\[
w = \frac{12}{6} = 2
\]
Therefore, the width of the box is \( 2 \) ft.
In summary, I found the width by using the volume formula for a rectangular prism and substituting the known values to solve for the width.