B. Solve the following problems: 1. A new bakery offers decorated sheet cakes for children's birthday parties and other special occasions. The bakery wants the volume of a small cake to be 351 cubic inches. The cake is in the shape of a rectangular solid. They want the length of the cake to be four inches longer than the width of the cake and the height of the cake to be one-third of the width. What should the dimensions of the cake pan be? 2. A shipping container in the shape of a rectangular solid must have a volume of 84 cubic meters. The client tells the manufacturer that, because of the contents, the length of the container must be one meter longer than the width. and the height must be one meter greater than twice the width. What should the dimensions of the container be?

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
Section9.4: Polyhedrons And Spheres
Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...
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B. Solve the following problems:
1. A new bakery offers decorated sheet cakes for children's birthday parties and other
special occasions. The bakery wants the volume of a smal cake to be 351 cubic inches. The
cake is in the shape of a rectangular solid. They want the length of the cake to be four
inches longer than the width of the cake and the height of the cake to be one-third of the
width. What should the dimensions of the cake pan be?
2. A shipping container in the shape of a rectangular solid must have a volume of 84 cubic
meters. The client tells the manufacturer that, because of the contents, the length of the
container must be one meterlonger than the width. and the height must be one meter greater
than twice the width. What should the dimensions of the container be?
Transcribed Image Text:B. Solve the following problems: 1. A new bakery offers decorated sheet cakes for children's birthday parties and other special occasions. The bakery wants the volume of a smal cake to be 351 cubic inches. The cake is in the shape of a rectangular solid. They want the length of the cake to be four inches longer than the width of the cake and the height of the cake to be one-third of the width. What should the dimensions of the cake pan be? 2. A shipping container in the shape of a rectangular solid must have a volume of 84 cubic meters. The client tells the manufacturer that, because of the contents, the length of the container must be one meterlonger than the width. and the height must be one meter greater than twice the width. What should the dimensions of the container be?
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