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.

2 answers

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.
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