Calculus

A rectangular prism has a square base and the height of the prism is twice the length of each edge of the base. If the edges of the square base are increasing at a rate of 3 in/min. At what rate is the volume of the rectangular prism increasing when the length of each edge of the base is 10 in?

  1. 👍 0
  2. 👎 0
  3. 👁 106
asked by Bobby
  1. volume=1/3 s^2*2s=2/3 s^3
    dV/dt=2s^2 ds/dt

    you are given ds/dt=3in/min
    solve for dv/dt

Respond to this Question

First Name

Your Response

Similar Questions

  1. geometry

    a circular cylinder has a base with a radius of 7.5 cm. and a height of 12 cm. a rectangular prism has a square base and height of 8.0 cm. if the cylinder and the prism have equal volumes, what is the length of the base of the

    asked by Andrea on May 29, 2012
  2. Math - Literal Equations

    Please help me with the following: The volume of a prism is found by multiplying the area of the base by the height. A rectangular prism has a volume of 144cm^3, and a square base with a width of 3 cm. What is the height of the

    asked by Brady on May 22, 2014
  3. geometry

    You have a rectangular prism. The center section has been removed. The base of the original prism is 6in wide and 8in long. The height of the prism is 10in. What is the total exposed surface are of the new prism?

    asked by Piggy on May 8, 2012
  4. math

    Enya is building a storage cupboard in the shape of a rectangular prism. The rectangular prism has a square base with side lengths of 2.5 feet and height of 3.5 feet. Compare the amount of paint she would use to paint all but the

    asked by Tim on January 21, 2016
  5. algebra

    I have a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot. The base of the rectangular prism is not a square and the width is greater than 2 feet. What is the length and width of the rectangular prism?

    asked by John on March 28, 2016
  6. witbank high

    a rectangular prism with a square base of five cm length and height of two cm. What is the area of the base of the prism.

    asked by pretty on July 30, 2015
  7. Math

    Can someone please help me I don't understand this question. The base of a rectangular prism has an area of 1/8 ft2, and the height of the prism is 2/3 ft. What is the volume of the prism?

    asked by Correct ✅ on January 12, 2019
  8. math

    Jack has 222 lego cubes, each of side length 1. He puts them together to form a rectangular prism. If the perimeter of the base of the prism is 10, what is the height of the prism?

    asked by Mathslover on May 27, 2013
  9. Math

    2. The base of a rectangular prism has an area of 1/8 ft2, and the height of the prism is 2/3 ft. What is the volume of the prism? Can someone also help me with this one?

    asked by ItsBeeboBaby on January 10, 2019

More Similar Questions