The surface area of a cube is increased from 216 square centimetres to 227.664 square centimeters. Use differentials to determine : (a) By approximately how many centimetres does the side length of the cube increase? (b) By approximately how many cubic centimetres does the volume of the cube increase (a) By approximately what percentage does the volume of the cube increase? (a) The side length of the cube increaes by approximately centimetres. (b) The volume of the cube increaes by approximately cubic centimetres. (c) The volume of the cube increaes by approximately % Type EXACT answers using three decimal places as needed.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
The surface area of a cube is increased from 216 square centimetres to 227.664 square
centimeters. Use differentials to determine :
(a) By approximately how many centimetres does the side length of the cube increase?
(b) By approximately how many cubic centimetres does the volume of the cube increase?
(a) By approximately what percentage does the volume of the cube increase?
(a) The side length of the cube increaes by approximately
centimetres.
(b) The volume of the cube increaes by approximately
cubic centimetres.
(c) The volume of the cube increaes by approximately
%
Type EXACT answers using three decimal places as needed.
Transcribed Image Text:The surface area of a cube is increased from 216 square centimetres to 227.664 square centimeters. Use differentials to determine : (a) By approximately how many centimetres does the side length of the cube increase? (b) By approximately how many cubic centimetres does the volume of the cube increase? (a) By approximately what percentage does the volume of the cube increase? (a) The side length of the cube increaes by approximately centimetres. (b) The volume of the cube increaes by approximately cubic centimetres. (c) The volume of the cube increaes by approximately % Type EXACT answers using three decimal places as needed.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning