At Hal's Shipping Store, the cost of mailing a box increases as the size of the box increases. Ming mails a box that measures 11 inches by 12 inches by 9 inches. Eli mails a box that measures 12 inches by 14 inches by 6 inches. Which statement is correct?
A. Ming's cost is less because her box has less volume.
B. Ming's and Eli's costs are the same because the boxes have the same volume.
C. Eli's cost is greater because his box has greater volume.
D. Ming's cost is greater because her box has greater volume.
D is the answer.
Ming: 11 x 12 x 9 = 1188
Eli: 12 x 14 x 6 = 1008
Therefore, statement D proves true. If you need to explain your answer, the explanation would be: 1188 > 1008
To determine which statement is correct, we need to compare the volumes of the two boxes.
The volume of a rectangular box can be calculated by multiplying its length, width, and height.
For Ming's box: Volume = 11 in x 12 in x 9 in = 1188 cubic inches.
For Eli's box: Volume = 12 in x 14 in x 6 in = 1008 cubic inches.
Now, comparing the volumes of the two boxes, we can see that Ming's box actually has a greater volume than Eli's box.
Thus, the correct statement is:
D. Ming's cost is greater because her box has greater volume.
To determine which statement is correct, we need to compare the volumes of Ming's and Eli's boxes. The volume of a rectangular box is calculated by multiplying its length, width, and height.
For Ming's box, the length is 11 inches, the width is 12 inches, and the height is 9 inches. Therefore, the volume of Ming's box is: 11 inches * 12 inches * 9 inches = 1,188 cubic inches.
For Eli's box, the length is 12 inches, the width is 14 inches, and the height is 6 inches. Therefore, the volume of Eli's box is: 12 inches * 14 inches * 6 inches = 1,008 cubic inches.
Comparing the volumes, we can see that Ming's box actually has a greater volume than Eli's box. Therefore, statement D is correct: Ming's cost is greater because her box has greater volume.
It's important to note that the cost of mailing a box may also depend on factors other than volume, such as weight or shipping distance. However, based solely on the given information, we can conclude that statement D is correct.