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.
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.
To find the volume of each carton, we need to multiply the height with the base area.
Let's start with Max's carton:
Height of Max's carton = 6 inches
Base area of Max's carton = 12 inches squared
To find the volume of Max's carton, we multiply the height (6 inches) by the base area (12 inches squared):
Volume of Max's carton = 6 inches * 12 inches squared = 72 inches cubed
Now let's move on to Tucker's carton:
Height of Tucker's carton = 7 inches
Base area of Tucker's carton = 10 inches squared
To find the volume of Tucker's carton, we multiply the height (7 inches) by the base area (10 inches squared):
Volume of Tucker's carton = 7 inches * 10 inches squared = 70 inches cubed
To determine how much more volume Max's carton has than Tucker's, we subtract the volume of Tucker's carton from the volume of Max's carton:
Difference in volume = Volume of Max's carton - Volume of Tucker's carton
Difference in volume = 72 inches cubed - 70 inches cubed
Difference in volume = 2 inches cubed
Therefore, Max's carton has 2 inches cubed more volume than Tucker's carton.
To find the volume of each carton, we need to multiply the height by the base area of the carton.
Max's carton:
Volume of Max's carton = Height * Base Area
Volume of Max's carton = 6 inches * 12 inches squared
Volume of Max's carton = 72 cubic inches
Tucker's carton:
Volume of Tucker's carton = Height * Base Area
Volume of Tucker's carton = 7 inches * 10 inches squared
Volume of Tucker's carton = 70 cubic inches
To find how much more volume Max's carton has than Tucker's, we subtract the volume of Tucker's carton from the volume of Max's carton.
Difference in volume = Volume of Max's carton - Volume of Tucker's carton
Difference in volume = 72 cubic inches - 70 cubic inches
Difference in volume = 2 cubic inches
Therefore, Max's carton has 2 cubic inches more volume than Tucker's carton.