Question

hello my child needs help with this problem can someone please provide me through this question Max's carton has a height of 6 inches with a base area of 12 inches squared. Tucker's carton has a height of 7 inches with a base area of 10 inches squared. How much more volume does Max's carton have than Tucker's? Explain how you know.

Answer 1

Max's carton has 2 inches squared more volume than Tucker's carton.

Explanation:

First, calculate the volume of each of the cartons.

Max's Carton

• Height = 6 inches

,

• Base Area = 12 inches squared.

`\begin{gathered} Volume=Base\;Area* Height \\ =12*6 \\ =72\text{ cubic inches} \end{gathered}`

Max's carton has a volume of 72 cubic inches.

Tucker's Carton

• Height = 7 inches

,

• Base Area = 10 inches squared.

`\begin{gathered} Volume=Base\;Area* Height \\ =10*7 \\ =70\text{ cubic inches} \end{gathered}`

Tucker's carton has a volume of 70 cubic inches.

Next, we find the difference in volume.

`\begin{gathered} \text{ Difference}=\text{ Max's Carton's Volume-Tucker's Carton's Volume} \\ =72-70 \\ =2\text{ cubic inches} \end{gathered}`

Max's carton has 2 inches squared more volume than Tucker's carton.