A water tank, having the shape of a rectangular prism of base 100 square centimeters, is being filled at the rate of 1 liter per minute. Find the rate at which the height of the water in the water tank increases. Express your answer in centimeters per minute. Pick:
A) 40 cm/m  B) 15 cm/m  C) 10 cm/m  D) 35 cm/m  E) 20 cm/m
The volume of a rectangular prism is given by   area of base ? height   The rate at which the tank is being filled is 1 liter per minute which we need to convert   1 liter = 1 dm3   But 1 dm = 10 cm. Hence   1 liter = (10 cm)3 = 1000 cm3   The height h of the water is related to the volume by   volume = area of base ? h   In one minute the volume increases by 1 liter or 1000 cm3 and the height increases by   h = volume / area of base = 1000 cm3 / 100 cm2 = 10 cm   correct answer 10 cm/m
<result>C</result>
A water tank, having the shape of a rectangular prism of base 100 square centimeters, is being filled at the rate of 1 liter per minute. Find the rate at which the height of the water in the water tank increases. Express your answer in centimeters per minute.