Word Problem (Joint and Combined Variations)a) The volume of a pyramid varies jointly as its area of the base and height. If apyramid with a height of 5 cm and area of its base is 36 cm² has a volume of60 cm³, what is the volume of the other pyramid if its height is 9 cm and itsarea of the base is 24 cm²?b)The volume (V) of a gas varies directly as the temperature (t) and inversely asthe pressure (p). If a temperature of 40° and a pressure of 20 kilograms persquare inch have a volume of 230 cubic inches, what is the volume when thetemperature changes to 500 and the pressure is 100 kilograms per squareinch?

Answered: Image /qna-images/answer/de3dd5b9-ef24-40c5-8bf6-f8dc7b7c07bb.jpg

a) The volume of a pyramid varies jointly as its area of the base and height. If a pyramid with a height of 5 cm and area of its base is 36 cm² has a volume of 60 cm³, what is the volume of the other pyramid if its height is 9 cm and its area of the base is 24 cm² ?

a) The volume of a pyramid varies jointly as its area of the base and height. If a pyramid with a height of 5 cm and area of its base is 36 cm² has a volume of 60 cm³, what is the volume of the other pyramid if its height is 9 cm and its area of the base is 24 cm² ?

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

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

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

Chapter9: Systems Of Linear Equations

Section: Chapter Questions

Problem 10MPS

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Question

Word Problem (Joint and Combined Variations)
a) The volume of a pyramid varies jointly as its area of the base and height. If a
pyramid with a height of 5 cm and area of its base is 36 cm² has a volume of
60 cm³, what is the volume of the other pyramid if its height is 9 cm and its
area of the base is 24 cm²?
b)
The volume (V) of a gas varies directly as the temperature (t) and inversely as
the pressure (p). If a temperature of 40° and a pressure of 20 kilograms per
square inch have a volume of 230 cubic inches, what is the volume when the
temperature changes to 500 and the pressure is 100 kilograms per square
inch?

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