a rectangular box has a volume of 2860.what could be the dimension of its rectangular base if its height is 40cm?
a rectangular box has a volume of 2860.what could be the dimension of its rectangular base if its height is 40cm?
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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