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

To find the volume of a carton, you need to multiply its base area by its height. Therefore, the volume of Max's carton is:

V(Max) = 12 in² x 6 in = 72 in³

And the volume of Tucker's carton is:

V(Tucker) = 10 in² x 7 in = 70 in³

To find how much more volume Max's carton has than Tucker's, we need to subtract V(Tucker) from V(Max):

V(Max) - V(Tucker) = 72 in³ - 70 in³ = 2 in³

Therefore, Max's carton has 2 more cubic inches of volume than Tucker's.