Question
Kyle has a storage box that is 2 ft long 3 ft high and has a volume of 3 ft Myla has a storage box that is 4 ft high 2 ft long and has a volume of 16 ft What are the widths of Kyle and Milo boxes explain how you know 5th grade level
Answers
GPT-4o mini
To find the widths of Kyle's and Myla's boxes, we can use the formula for the volume of a rectangular box, which is:
**Volume = Length × Width × Height.**
Let's break it down for each box:
### Kyle's Box
- **Length** = 2 ft
- **Height** = 3 ft
- **Volume** = 3 ft³
Now we can plug in the values we have into the volume formula:
\[
3 = 2 \times \text{Width} \times 3
\]
To find the width, we first multiply the length and height:
\[
2 \times 3 = 6
\]
Now, we rewrite the equation:
\[
3 = 6 \times \text{Width}
\]
Next, we divide both sides by 6 to solve for Width:
\[
\text{Width} = \frac{3}{6} = 0.5 \text{ ft}
\]
So, Kyle's box is **0.5 ft wide**.
### Myla's Box
- **Length** = 2 ft
- **Height** = 4 ft
- **Volume** = 16 ft³
Using the volume formula again:
\[
16 = 2 \times \text{Width} \times 4
\]
First, we multiply the length and height:
\[
2 \times 4 = 8
\]
Then we rewrite the equation:
\[
16 = 8 \times \text{Width}
\]
Now, we divide both sides by 8 to find the Width:
\[
\text{Width} = \frac{16}{8} = 2 \text{ ft}
\]
So, Myla's box is **2 ft wide**.
### Summary
- Kyle's width = 0.5 ft
- Myla's width = 2 ft
This tells us how wide each box is based on their volume, length, and height!
**Volume = Length × Width × Height.**
Let's break it down for each box:
### Kyle's Box
- **Length** = 2 ft
- **Height** = 3 ft
- **Volume** = 3 ft³
Now we can plug in the values we have into the volume formula:
\[
3 = 2 \times \text{Width} \times 3
\]
To find the width, we first multiply the length and height:
\[
2 \times 3 = 6
\]
Now, we rewrite the equation:
\[
3 = 6 \times \text{Width}
\]
Next, we divide both sides by 6 to solve for Width:
\[
\text{Width} = \frac{3}{6} = 0.5 \text{ ft}
\]
So, Kyle's box is **0.5 ft wide**.
### Myla's Box
- **Length** = 2 ft
- **Height** = 4 ft
- **Volume** = 16 ft³
Using the volume formula again:
\[
16 = 2 \times \text{Width} \times 4
\]
First, we multiply the length and height:
\[
2 \times 4 = 8
\]
Then we rewrite the equation:
\[
16 = 8 \times \text{Width}
\]
Now, we divide both sides by 8 to find the Width:
\[
\text{Width} = \frac{16}{8} = 2 \text{ ft}
\]
So, Myla's box is **2 ft wide**.
### Summary
- Kyle's width = 0.5 ft
- Myla's width = 2 ft
This tells us how wide each box is based on their volume, length, and height!