Concept explainers
To answer:
a. The questions related to the volume of a square box whose volume is 10 cubic feet.
Answer to Problem 40RE
Solution:
a.
Explanation of Solution
Given:
cubic meter.
Calculation:
a. Amount of material used to make a box with square base:
Let and be the length and height of the box.
It is given that the volume of the box with square base is 10 cubic feet. So,
Thus, the height of the box is
Now, the amount of material required to build the box is equal to the surface area of the box.
Surface area of the box is
Substituting , we get
Thus, .
To answer:
b. The questions related to the volume of a square box whose volume is 10 cubic feet.
Answer to Problem 40RE
Solution:
b. square feet.
Explanation of Solution
Given:
cubic meter.
Calculation:
b. Material required for a base of 1 foot by 1 foot:
Substituting , we get
square feet.
To answer:
c. The questions related to the volume of a square box whose volume is 10 cubic feet.
Answer to Problem 40RE
Solution:
c. square feet.
Explanation of Solution
Given:
cubic meter.
Calculation:
c. Material required for a base of 2 foot by 2 foot:
Substituting , we get
square feet.
To answer:
d. The questions related to the volume of a square box whose volume is 10 cubic feet.
Answer to Problem 40RE
Solution:
d. feet.
Explanation of Solution
Given:
cubic meter.
Calculation:
d. Graph:
From the graph, we find that the smallest area is square feet for the value of feet.
Chapter 2 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Precalculus
University Calculus: Early Transcendentals (4th Edition)
Glencoe Math Accelerated, Student Edition
University Calculus: Early Transcendentals (3rd Edition)
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