document.write( "Question 4460: A ten-gallon aquarium is 3 inches higher than it is wide. Its length is 21 inches., and its volume is 2730 inches cubed. What are the height and width of the aquarium? \n" ); document.write( "

Algebra.Com's Answer #2024 by Earlsdon(6294) $\"\"$ $\"About$

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Start with the formula for the volume of a rectangular prism (this is the shape of the aquarium): V = L*W*H (That's Length * Width * Height)\r
\n" ); document.write( "\n" ); document.write( "L = 21 inches
\n" ); document.write( "H = W + 3\r
\n" ); document.write( "\n" ); document.write( "V = (21)(W)(W+3) = 2730 cubic inches.
\n" ); document.write( " (21)(W^2 + 3W) = 2730 Cubic inches. Divide both sides by 21.
\n" ); document.write( " W^2 + 3W = 130 Subtract 130 from both sides.
\n" ); document.write( " W^2 + 3W - 130 = 0 Solve the quadratic by factoring.
\n" ); document.write( " (W + 13)(W - 10) = 0 Apply the zero products principle.\r
\n" ); document.write( "\n" ); document.write( "W + 13 = 0, W = -13 Discard this solution as negative width is not meaningful.
\n" ); document.write( "W - 10 = 0, W = 10 The width of the aquarium is 10 inches.
\n" ); document.write( "H = W + 3
\n" ); document.write( "H = 13 The height of the aquarium is 13 inches.\r
\n" ); document.write( "\n" ); document.write( "Check: Volume, V = (21\")(10\")(13\") = 2730 cubic inches. \n" ); document.write( "

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