To find the dimensions of the rectangular base, we can use the formula for the volume of a rectangular box:
Volume = Length x Width x Height
Given that the volume is 2860 and the height is 40 cm, we can rearrange the formula to solve for the dimensions of the base:
2860 = Length x Width x 40
Now, let's find possible dimensions by factoring 2860:
2860 = 2 x 2 x 5 x 11 x 13
To find the dimensions of the base, we need to divide these factors into the length and width in different combinations. Here are a few possible options:
Option 1:
Length = 2 x 5 x 11 = 110 cm
Width = 2 x 13 = 26 cm
Option 2:
Length = 2 x 2 x 11 = 44 cm
Width = 5 x 13 = 65 cm
Option 3:
Length = 2 x 2 x 13 = 52 cm
Width = 5 x 11 = 55 cm
These are just a few examples, and there could be other combinations of factors that give a volume of 2860 with a height of 40 cm.
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