Question
Max carton has a height of 6 in with a base area of 12 in squared Tucker carton has a height of 7 in with a base area of 10 in squared How much more volume does max carton have than Tucker explain how you know 5th grade level
Answers
GPT-4o mini
To find out how much more volume Max's carton has than Tucker's, we first need to calculate the volume of each carton. The volume of a carton can be found using the formula:
\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]
**For Max's carton:**
- Base Area = 12 square inches
- Height = 6 inches
Now, we can plug the values into the formula:
\[
\text{Volume of Max's carton} = 12 \, \text{in}^2 \times 6 \, \text{in} = 72 \, \text{in}^3
\]
**For Tucker's carton:**
- Base Area = 10 square inches
- Height = 7 inches
Now, we plug in these values too:
\[
\text{Volume of Tucker's carton} = 10 \, \text{in}^2 \times 7 \, \text{in} = 70 \, \text{in}^3
\]
Now that we have both volumes, we can find out how much more volume Max's carton has than Tucker's. We do this by subtracting the volume of Tucker's carton from the volume of Max's carton:
\[
\text{Difference in Volume} = \text{Volume of Max's carton} - \text{Volume of Tucker's carton}
\]
\[
\text{Difference in Volume} = 72 \, \text{in}^3 - 70 \, \text{in}^3 = 2 \, \text{in}^3
\]
So, Max's carton has **2 cubic inches** more volume than Tucker's carton.
In summary, we calculated the volumes of both cartons and found that Max's carton holds a bit more space because of its larger base area and shorter height compared to Tucker's.
\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]
**For Max's carton:**
- Base Area = 12 square inches
- Height = 6 inches
Now, we can plug the values into the formula:
\[
\text{Volume of Max's carton} = 12 \, \text{in}^2 \times 6 \, \text{in} = 72 \, \text{in}^3
\]
**For Tucker's carton:**
- Base Area = 10 square inches
- Height = 7 inches
Now, we plug in these values too:
\[
\text{Volume of Tucker's carton} = 10 \, \text{in}^2 \times 7 \, \text{in} = 70 \, \text{in}^3
\]
Now that we have both volumes, we can find out how much more volume Max's carton has than Tucker's. We do this by subtracting the volume of Tucker's carton from the volume of Max's carton:
\[
\text{Difference in Volume} = \text{Volume of Max's carton} - \text{Volume of Tucker's carton}
\]
\[
\text{Difference in Volume} = 72 \, \text{in}^3 - 70 \, \text{in}^3 = 2 \, \text{in}^3
\]
So, Max's carton has **2 cubic inches** more volume than Tucker's carton.
In summary, we calculated the volumes of both cartons and found that Max's carton holds a bit more space because of its larger base area and shorter height compared to Tucker's.