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. OK

Max's carton has a volume of 6 x 12 = 72 cubic inches.

Tucker's carton has a volume of 7 x 10 = 70 cubic inches.

Therefore, Max's carton has a 72 - 70 = 2 cubic inch greater volume than Tucker's carton.

I know this because the volume of a rectangular prism (such as a carton) is calculated by multiplying the height by the base area. Given the dimensions of each carton, I can calculate their volumes and compare them to find the difference.

less words

Max's carton has a volume of 72 cubic inches and Tucker's carton has a volume of 70 cubic inches. Therefore, Max's carton has 2 cubic inches more volume than Tucker's.