1. Verify that the two rectangular solids shown below have a surface area of 150 square inches. Find the volume of each. Using optimization, determine the dimensions of a rectangular solid (with a square base) of maximum volume if its surface area is 150 square inches. (More space on next page). 3 6- 11 3.25 (In case the pictures above are too grainy- the rectangular solids are 3 in. by 3 in. by 11 in. and 6 in. by 6 in. by 3.25 in. respectively.)

1. Verify that the two rectangular solids shown below have a surface area of 150 square inches. Find the volume of each. Using optimization, determine the dimensions of a rectangular solid (with a square base) of maximum volume if its surface area is 150 square inches. (More space on next page). 3 6- 11 3.25 (In case the pictures above are too grainy- the rectangular solids are 3 in. by 3 in. by 11 in. and 6 in. by 6 in. by 3.25 in. respectively.)

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

Section9.2: Pyramids, Area, And Volume

Problem 38E

See similar textbooks

Similar questions

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.
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?
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?
Given that a regular polyhedron of n faces is inscribed in a sphere of radius length 6 in., find the maximum largest possible volume for the polyhedron.