A seamstress makes 2 cushions for a couch, a smaller cushion and a larger cushion. The cushions are similar rectangu prisms. The seamstress determines the surface area of each cushion and the volume of the smaller cushion. She wants calculate the volume of the larger cushion in order to figure out how much stuffing she must buy. 2 3 The surface area of the smaller cushion is 735 in and its volume is 1441 in. What is the volume, V, to the nearest cu of the larger cushion if it has a surface area of 1215 in ? V = in³

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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I have an area and volume of prisms geometry problem. 

A seamstress makes 2 cushions for a couch, a smaller cushion and a larger cushion. The cushions are similar rectangular
prisms. The seamstress determines the surface area of each cushion and the volume of the smaller cushion. She wants to
calculate the volume of the larger cushion in order to figure out how much stuffing she must buy.
2
3
The surface area of the smaller cushion is 735 in and its volume is 1441 in. What is the volume, V, to the nearest cubic inch,
of the larger cushion if it has a surface area of 1215 in ?
in³
V =
Transcribed Image Text:A seamstress makes 2 cushions for a couch, a smaller cushion and a larger cushion. The cushions are similar rectangular prisms. The seamstress determines the surface area of each cushion and the volume of the smaller cushion. She wants to calculate the volume of the larger cushion in order to figure out how much stuffing she must buy. 2 3 The surface area of the smaller cushion is 735 in and its volume is 1441 in. What is the volume, V, to the nearest cubic inch, of the larger cushion if it has a surface area of 1215 in ? in³ V =
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