A box with a square base and an open top must have a volume of 32,000 cubiccentimeters. Find the dimensions of the box that minimize the materials used.1.

let x denotes the length of the sides on the square base assume height of the box is h Then the…

Answered: A box with a square base and an open…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter63: Volumes Of Pyramids And Cones

Section: Chapter Questions

Problem 24A

See similar textbooks

Similar questions

A leather soccer ball has an inside diameter length of 8.5 in. and thickness of 0.1 in. Find the volume of leather needed for its construction. Use your calculator.
A coffee can is shaped like a cylinder with height 7 inches and radius 5 inches. Find (a) the surface area and (b) the volume of the can. Round to the nearest tenth.
For the right triangular prism, suppose that the sides of the triangular base measure 4 m, 5 m, and 6 m. The altitude is 7 m. a Find the lateral area of the prism. b Find the total area of the prism. c Find the volume of the prism.
A cereal box measures 2 in. by 8 in. by 10 in. What is the volume of the box? How many square inches of cardboard make up its surfaces? Disregard any hidden flaps.
The numerical value of the volume of a cube equals the numerical value of its total surface area. What is the length of each edge of the cube?
A cylindrical container has a volume of 84 cubic inches and a radius of 3 inches. Find the height of the container.
An ice cream cone is filled with ice cream as shown. What is the volume of the ice cream? Use your calculator.
a For the through in the shape of half-cylinder, find the volume of water it will hold Use 3.14 and disregard the thickness b If the trough is to be painted inside and out, find the number of square feet to be painted Use 3.14.
The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of tin required for its construction. HINT: Include the lid and the base in the result.
Richard has a fuel tank in the shape of a right circular cylinder. The tank has a height of 6 ft and a radius of length 1.5 ft for its circular base. If 1ft3 of volume contains 7.5 gal of gasoline, what is the approximate capacity of the fuel tank in gallons?
Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are purchased to enclose the garden, what are the dimensions of the rectangular plot?
The gasoline tank on an automobile is box-shaped with dimensions of 24 in. by 20 in. by 9 in. If 1 ft3 corresponds to 7.5 gal of gasoline, What is the capacity of the automobiles fuel tank in gallons?

Recommended textbooks for you

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Holt Mcdougal Larson Pre-algebra: Student Edition…

Algebra

ISBN:

9780547587776

Author:

HOLT MCDOUGAL

Publisher:

HOLT MCDOUGAL

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Holt Mcdougal Larson Pre-algebra: Student Edition…

Algebra

ISBN:

9780547587776

Author:

HOLT MCDOUGAL

Publisher:

HOLT MCDOUGAL

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Algebra: Structure And Method, Book 1

Algebra

ISBN:

9780395977224

Author:

Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:

McDougal Littell

PREALGEBRA

Algebra

ISBN:

9781938168994

Author:

OpenStax

Publisher:

OpenStax

SEE MORE TEXTBOOKS

A box with a square base and an open top must have a volume of 32,000 cubic centimeters. Find the dimensions of the box that minimize the materials used. 1.