A box with an open top has a square base and four sides of equal height....
A box with an open top has a square base and four sides of equal height. The volume of the box is
972 ftcubed. The height is 3ft greater than both the length and the width. If the surface area is
513ft squared,what are the dimensions of the box
Homework Answers
Add Answer to:
A box with an open top has a square base and four sides of equal
height....
A box with a square base and open top must have a volume of 2048 c m 3 . We wish to find the dimensions of the box that...
A box with a square base and open top must have a volume of 2048 c m 3 . We wish to find the dimensions of the box that minimize the amount of material used. The length of the base is x and the height is h. Since the base is a square, the surface area of just the base would be: Area = The surface area of just one side would be: Area = The surface area of all...
All boxes with a square base, an open top, and a volume of 200 ftº have...
All boxes with a square base, an open top, and a volume of 200 ftº have a surface area given by S(x)=x2 + where x is the length of the sides of the base. Find the absolute minimum of the surface area function on the interval (0,00). What are the dimensions of the box with minimum surface area? Determine the derivative of the given function S(x). S'(x)=0 The absolute minimum value of the surface area function ist? (Round to three...
A box with an open top has a length of x centimeters, width of y centimeters,...
A box with an open top has a length of x centimeters, width of y centimeters, height of z centimeters, and fixed volume of 125 cubic centimeters. The box is divided into two equal parts along its height. The bottom part is divided into two equal parts along its length. One of these parts is divided into two equal parts along its width. The sturdy material used for the base of the box costs $4 per square centimeter, and the...
A rectangular tank with a square base, an open top, and a volume of 884 ft is to be constructed o...
A rectangular tank with a square base, an open top, and a volume of 884 ft is to be constructed of sheet steel Find the dimensions of the tank that has the minimum surface area n& Let s be the length of one of the sides of the square base and let A be the surface area of the tank. Write the objective tunction A- Type an expression.) The interval of interest of the objective function is tiond (Simplity your...
Y 240 All boxes with a square base, an open top, and a volume of 60...
Y 240 All boxes with a square base, an open top, and a volume of 60 ft have a surface area given by S(x)= x2 + where x is the length of the sides of the base. Find the absolute minimum of the surface area function on the interval (0,00). What are the dimensions of the box with minimum surface area? Determine the derivative of the given function S(x). 240 S'(x) = 2x- The absolute minimum value of the surface...
A rectangular tank with a square base, an open top, and a volume of 864 n...
A rectangular tank with a square base, an open top, and a volume of 864 n is to be constructed of sheet stoel. Find the dimensions of the tank that has the minimum surface area, Lets be the length of one of the sides of the square base and let A be the surface area of the tank. Write the primary equation in terms of A-O (Type an expression.) The domain of the primary equation is (Simplify your answer. Type...
1. A box with a square base and an open top is being constructed from 1200...
1. A box with a square base and an open top is being constructed from 1200 m² of material. Determine the dimensions of the box that will maximize the volume of the box. Briefly show that your answer gives a maximum. Dimensions (Length x Width x Height):
An open box is to be constructed so that the length of the base is 4...
An open box is to be constructed so that the length of the base is 4 times larger than the width of the base. If the cost to construct the base is 2 dollars per square foot and the cost to construct the four sides is 1 dollars per square foot, determine the dimensions for a box to have volume = 27 cubic feet which would minimize the cost of construction. h 1 W The values for the dimension of...
10. DETAILS SCALC8 3.7.014. A box with a square base and open top must have a...
10. DETAILS SCALC8 3.7.014. A box with a square base and open top must have a volume of 13,500 cm. Find the dimensions of the box that minimize the amount of material used. sides of base height cm cm Submit Answer
A box with a square base and open top must have a volume of 296352 cm....
A box with a square base and open top must have a volume of 296352 cm. We wish to find the dimensions of the box that minimize the amount of material used. First, find a formula for the surface area of the box in terms of only x, the length of one side of the square base. A(x) = Next, find the derivative, A'(x). A'(x) = The critical value is 3 = The function is decreasing ✓ until the critical...
All boxes with a square base, an open top, and a volume of 200 ftº have a surface area given by S(x)=x2 + where x is the length of the sides of the base. Find the absolute minimum of the surface area function on the interval (0,00). What are the dimensions of the box with minimum surface area? Determine the derivative of the given function S(x). S'(x)=0 The absolute minimum value of the surface area function ist? (Round to three...
A box with an open top has a length of x centimeters, width of y centimeters, height of z centimeters, and fixed volume of 125 cubic centimeters. The box is divided into two equal parts along its height. The bottom part is divided into two equal parts along its length. One of these parts is divided into two equal parts along its width. The sturdy material used for the base of the box costs $4 per square centimeter, and the...
A rectangular tank with a square base, an open top, and a volume of 884 ft is to be constructed of sheet steel Find the dimensions of the tank that has the minimum surface area n& Let s be the length of one of the sides of the square base and let A be the surface area of the tank. Write the objective tunction A- Type an expression.) The interval of interest of the objective function is tiond (Simplity your...
Y 240 All boxes with a square base, an open top, and a volume of 60 ft have a surface area given by S(x)= x2 + where x is the length of the sides of the base. Find the absolute minimum of the surface area function on the interval (0,00). What are the dimensions of the box with minimum surface area? Determine the derivative of the given function S(x). 240 S'(x) = 2x- The absolute minimum value of the surface...
A rectangular tank with a square base, an open top, and a volume of 864 n is to be constructed of sheet stoel. Find the dimensions of the tank that has the minimum surface area, Lets be the length of one of the sides of the square base and let A be the surface area of the tank. Write the primary equation in terms of A-O (Type an expression.) The domain of the primary equation is (Simplify your answer. Type...
1. A box with a square base and an open top is being constructed from 1200 m² of material. Determine the dimensions of the box that will maximize the volume of the box. Briefly show that your answer gives a maximum. Dimensions (Length x Width x Height):
An open box is to be constructed so that the length of the base is 4 times larger than the width of the base. If the cost to construct the base is 2 dollars per square foot and the cost to construct the four sides is 1 dollars per square foot, determine the dimensions for a box to have volume = 27 cubic feet which would minimize the cost of construction. h 1 W The values for the dimension of...
10. DETAILS SCALC8 3.7.014. A box with a square base and open top must have a volume of 13,500 cm. Find the dimensions of the box that minimize the amount of material used. sides of base height cm cm Submit Answer
A box with a square base and open top must have a volume of 296352 cm. We wish to find the dimensions of the box that minimize the amount of material used. First, find a formula for the surface area of the box in terms of only x, the length of one side of the square base. A(x) = Next, find the derivative, A'(x). A'(x) = The critical value is 3 = The function is decreasing ✓ until the critical...
Most questions answered within 3 hours.
-
Calculate the number density of argon gas at a temperature of
24C and a pressure of...
asked 54 minutes ago -
Alternative
Classification
How to Estimate
Probabilities from Data? ( For continuous Attributes)
And How to generate...
asked 57 minutes ago -
An explosion breaks a 20.0-kg object into three parts. The
object is initially moving at a...
asked 1 hour ago -
Calculate the approximate number of residues of Rubisco, which
is involved in carbon fixation in plants,...
asked 2 hours ago -
Other decisions about scientific claims can have a much broader
impact.ENERGYarrow-10x10.png, environment, health, security - all...
asked 3 hours ago -
I need to write a research paper and work cited about this
topic: The United States...
asked 4 hours ago -
Hello! I was wondering if I could have some help?
If the vapor pressure of carvone...
asked 4 hours ago -
An economist wants to estimate the mean per capita income (in
thousands of dollars) for a...
asked 4 hours ago -
What would be the input/output characteristic of a circuit
obtained by putting two of your 2's-complementers...
asked 4 hours ago -
In Drosophila, the transition from the syncytial blastoderm
stage to the cellular blastoderm stage is a...
asked 5 hours ago -
Project management question:
Name 3 different types of resources (hint: humans are one
type)
asked 5 hours ago -
Consider the following reaction: C 2H 2( g) + 2H 2( g) C 2H 6(
g)...
asked 5 hours ago