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.
Choose the correct choice from the following answers:
A) 30 cm B) 10 cm C) 50 cm D) 90 cm E) 70 cm
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
<result>B</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.