Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water and sodium chlorate to evaporate slowly. a. If V is the volume of such a cube with side length x, calculate dV/dx when x = 3 mm and explain its meaning (be specific). b. Show that the rate of change of the volume of a cube with respect to its edge length is equal to half the surface area of the cube.
Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water and sodium chlorate to evaporate slowly. a. If V is the volume of such a cube with side length x, calculate dV/dx when x = 3 mm and explain its meaning (be specific). b. Show that the rate of change of the volume of a cube with respect to its edge length is equal to half the surface area of the cube.
Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter1: The Nature Of Chemistry
Section: Chapter Questions
Problem 110QRT
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Sodium chlorate crystals are easy to grow in the
shape of cubes by allowing a solution of water and
sodium chlorate to evaporate slowly.
a. If V is the volume of such a cube with side
length x, calculate dV/dx when x = 3 mm and
explain its meaning (be specific).
b. Show that the rate of change of the volume of a
cube with respect to its edge length is equal to
half the surface area of the cube.
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