document.write( "Question 1011105: The volume of water in a bottle can be found using the formula V=A*l where A is the area of the base of the water bottle and l is the height of the prism.
\n" ); document.write( "1/ The area of the base of the water bottle is 20cm^2. Suppose you pour 400 cm^3 of water into the bottle. How high up the side of the bottle will the water go?
\n" ); document.write( "2. For a constant volume, how does the height change as the area of the base increases?
\n" ); document.write( "3. How will the volume of the water bottle change if the height remains constant but the area of the base decreases?
\n" ); document.write( "4. Write a formula that expresses l as a function of V and A.
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Algebra.Com's Answer #626700 by Theo(13342)\"\" \"About 
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formula is v = a * l
\n" ); document.write( "v = volume
\n" ); document.write( "a = area of the base
\n" ); document.write( "l = height\r
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\n" ); document.write( "\n" ); document.write( "question 1:\r
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\n" ); document.write( "\n" ); document.write( "how high up the side will the water go?\r
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\n" ); document.write( "\n" ); document.write( "if the area of the base is 20 cm^2, then the formula becomes:\r
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\n" ); document.write( "\n" ); document.write( "v = 20 * l\r
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\n" ); document.write( "\n" ); document.write( "if the volume is 400 cm^3, then the formula becomes:\r
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\n" ); document.write( "\n" ); document.write( "400 = 20 * l\r
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\n" ); document.write( "\n" ); document.write( "solve for l to get l = 400 / 20 = 20 cm.\r
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\n" ); document.write( "\n" ); document.write( "that's how high up the side of the bottle that the water will go.\r
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\n" ); document.write( "\n" ); document.write( "question 2:\r
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\n" ); document.write( "\n" ); document.write( "for a constant volume, how does the height change as the area of the base increases?\r
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\n" ); document.write( "\n" ); document.write( "the formula is v = a * l\r
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\n" ); document.write( "\n" ); document.write( "solve for l to get l = v/a\r
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\n" ); document.write( "\n" ); document.write( "if the volume remains constant and the area of the base increases, the height will decrease.\r
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\n" ); document.write( "\n" ); document.write( "question 3:\r
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\n" ); document.write( "\n" ); document.write( "how will the volume of the water bottle change if the height remains constant but the area of the base decreases?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the formula is v = a * l\r
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\n" ); document.write( "\n" ); document.write( "if the height remains constant and the area of the base decreases, the volume will decrease.\r
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\n" ); document.write( "\n" ); document.write( "problem 4:\r
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\n" ); document.write( "\n" ); document.write( "write a formula that expresses l as a function of V and A.\r
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\n" ); document.write( "\n" ); document.write( "the formula is v = a * l\r
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\n" ); document.write( "\n" ); document.write( "divide both sides of the formula by a and you get l = v / a\r
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