To find the volume of each carton, we need to multiply the height by the base area:
Volume of Max's carton: 6 x 12 = 72 cubic inches
Volume of Tucker's carton: 7 x 10 = 70 cubic inches
To find the difference between the two volumes, we can subtract Tucker's volume from Max's volume:
72 - 70 = 2 cubic inches
Therefore, Max's carton has 2 more cubic inches of volume than Tucker's. We know this because the volume of a rectangular prism (or any three-dimensional figure) is calculated by multiplying the length, width, and height. In this case, the length and width are not given explicitly, but since we know the base area (length x width), we can use that to calculate the volume. The difference in volume between the two cartons is simply the difference in their heights multiplied by the shared base area.
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.
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