All edges of a cube are expanding at a rate of 8 centimeters per second.

(a) How fast is the volume changing when each edge is 4 cm?

(b) How fast is the volume changing when each edge is 10 cm?

Kind of confused...

V = x^3
dx/dt = 8
dV/dt = 3x^2 dx/dt

(a) When x = 4, ???
(b) When x = 10, ???

  1. 👍 0
  2. 👎 0
  3. 👁 1,061
  1. a) dVdt=3x^2 dx/dt
    =2(16)(8) cm^3/sec

    1. 👍 0
    2. 👎 1

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    A cube of wood measures 5 centimeters on a side and weighs 19 grams. What is the density of the cube of wood? Will the cube of wood float in water?

  2. geometry

    A cube with edges inch long is shown below. What is the length, in inches, of a diagonal that runs from one corner of the cube to the opposite corner?

  3. Math

    Consider the right rectangular prism shown. The figure shows a right rectangular prism whose dimensions are 8.5 centimeters, 2.25 centimeters, and 5.75 centimeters ​List the numbers of faces, edges, and vertices of the

  4. Geometry (check)

    Mario’s company makes unusually shaped imitation gemstones. One gemstone had 12 faces and 10 vertices. How many edges did the gemstone have? A. 23 edges B. 22 edges C. 25 edges D. 20 edges****

  1. calculus

    the edge of a cube is increasing at the rate of .05 centimeters per second. in terms of the side of the cube s, what is the rate of change of the volume of the cube, in cm^3/sec

  2. Physics

    a cube has six faces and twelve edges. you start at one corner,are allowed to move only along the edges and may not retrace your path along any edge. Consistent with these rules, there are any number of ways to arrive back at your

  3. Math

    The surface area of a particular cube is 600 square inches. When the edges of the cube are doubled in length, what is the volume of the new cube, in cubic inches?

  4. calculus

    the side of a cube is expanding at a constant rate of 2 centimeters per sesond. what is the instantaneous rate of change of the surface area of the cube, in cm2 per second, when its volume is 27 cubic cm

  1. 12th Calculus

    the volume of a cube is increasing at the rate of 1200 cm^3/min at the instant it edges are 20cm long. at what rate are the edges changing at the instant?

  2. science

    Arjun placed a salt cube in a cup of water. He wonders whether stirring the water will make the salt cube dissolve faster or slower. If Arjun stirs his cup of water, what effect does it have on the rate at which the salt cube

  3. math

    the edges of a cube are 3 inches long. what is the surface area, in square inches, of this cube?

  4. Physics

    A cube is located with one corner at the origin of an x, y, z, coordinate system. One of the cube's faces lies in the x, y plane, another in the y, z plane, and another in the x, z plane. In other words, the cube is in the first

You can view more similar questions or ask a new question.