8.5k views
4 votes
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.

1 Answer

4 votes
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
User Marilene
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories