A small tectangular box has a width of 18cm and a volume of 720cm.
a.)determine the height and the length of the box.
b.) is there more than 1 answer? Explain.
volume of box = lwh
720 = 18lh
lh = 40
so any two numbers l and h which multiply to get 40 will work.
There is an infinite number of such combinations
e.g. 5x8, 1.25x32 , 1/3 x 120 , etc
thank you very much! :)
To determine the height and length of the rectangular box, we can use the formula for the volume of a rectangular box, which is given by:
Volume = Length x Width x Height
a.) To find the height and length, we need to rearrange the formula by dividing both sides by the width:
Volume / Width = Length x Height
Given that the width is 18 cm and the volume is 720 cm³, we can substitute these values into the formula to get:
720 cm³ / 18 cm = Length x Height
This simplifies to:
40 cm = Length x Height
So, the length multiplied by the height equals 40 cm.
Now, we can proceed to find the possible values for the length and height.
To determine if there are more than one answer, we need to consider the factors of 40. The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, and 40.
b.) Since the length multiplied by the height gives a product of 40 cm, we can have multiple combinations that satisfy this condition. For example:
Length = 1 cm, Height = 40 cm
Length = 2 cm, Height = 20 cm
Length = 4 cm, Height = 10 cm
Length = 5 cm, Height = 8 cm
Therefore, there are four possible combinations of length and height for the rectangular box.