In constructing an open rectangular box from 1323 ft of material, what dimensions will result in a box of maximum volume? Let x be the length of the box, let y be the width of the box, and let z be the height of the box. What is the equation that represents the total surface area of the box? Assume that the box is open on top. What are the dimensions of the box? y = z= (Simplify your answers.)

In constructing an open rectangular box from 1323 ft of material, what dimensions will result in a box of maximum volume? Let x be the length of the box, let y be the width of the box, and let z be the height of the box. What is the equation that represents the total surface area of the box? Assume that the box is open on top. What are the dimensions of the box? y = z= (Simplify your answers.)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 40E: For a right circular cone, the dimensions are r=6 cm and h=8 cm. If the length of the radius is...

See similar textbooks

Similar questions

For a right circular cone, the dimensions are r=6 cm and h=8 cm. If the length of the radius is doubled while the height is made half as large in forming a new cone, will the volumes of the two cones be equal?
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.
A storage shed is in the shape of a trapezoidal prism. Each trapezoid represents one of its bases. With dimensions as shown, what is the storage capacity volume of its interior?
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?