Sophie has a box filled with trail mix. The box has a length of 10 1··2inches, width of 4 1··2inches, and height of 8 inches. The box does not fit in Sophie’s cupboard so she decides to place all of the trail mix into smaller boxes that will fit. Determine which set of boxes Sophie can use to hold all the trail mix. Choose Ye s or No for each set of boxes. a. 3 boxes with dimensions 6 1··4inches by 3 1··4inches by 6 inches u Yes u No b. 2 boxes with dimensions 8 3··4inches by 5 1··4inches by 9 inches u Yes u No c. 4 boxes with dimensions 7 1··4inches by 2 1··4inches by 6 inches u Yes u No d. 6 boxes with dimensions 4 1··4inches by 3 3··4inches by 2 inches u Yes u No e. 5 boxes with dimensions 6 1··2inches by 2 1··2inches by 5 inches u Yes u No
The volume of a box is length x width x height.
The original box has a volume of 10.5 x 4.5 x 8 = 378 cu in.
Find the volume of the boxes for each posibility byusing this formula and adding the answers.
If the answer is at least as large as 378 cu in, that answer is a possibility.