A recycling bin is shaped like a right rectangular prism and holds 300 000 cm3 of returnable containers. If the base of the bin is 40 cm wide and 60 cm long, what is the height of the recycling bin in centimeters?

Respuesta :

The height of the recycling bin in centimeters is 125 cm.

Since the recycling bin is shaped like a right rectangular prism, the volume of the recycle bin is the volume of a rectangular prism. So, volume of recycle bin, V = lwh where l = length of recycle bin = 60 cm, w = width of recycle bin = 40 cm and h = height of recycle bin.

Since we require the height of the recycle bin, making h subject of the formula, we have

h = V/lw

Since V = 300000 cm³, substituting the values of the variables into the equation, we have

h = V/lw

h = 300000 cm³/(60 cm × 40 cm)

h = 300000 cm³/(2400 cm²)

h = 125 cm

So, the height of the recycling bin in centimeters is 125 cm.

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