document.write( "Question 507817: The formula V=1/3lwh relates the volume of a square pyramid to its base length l, base width w, and height h.\r
\n" ); document.write( "\n" ); document.write( "a. Solve the formula for w\r
\n" ); document.write( "\n" ); document.write( "b. A square pyramid has a volume of 560 in^3, a base length of 10 in, and a height of 14 in. What is its base width?
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Algebra.Com's Answer #340751 by Earlsdon(6294)\"\" \"About 
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The formula:
\n" ); document.write( "\"V+=+%281%2F3%29l%2Aw%2Ah\" Relates to any \"rectangular\" pyramid, of which, a \"square\" pyramid is an example.
\n" ); document.write( "To say \"square\" pyramid implies that the base is a square where the length, l, and the width, w. are equal.
\n" ); document.write( "Anyway, back to the given problem!
\n" ); document.write( "a) Solve for w:
\n" ); document.write( "\"V+=+%281%2F3%29l%2Aw%2Ah\" Multiply both sides by 3.
\n" ); document.write( "\"3V+=+l%2Aw%2Ah\" Now divide both sides by \"l%2Ah\"
\n" ); document.write( "\"3V%2F%28l%2Ah%29+=+w\" or \"highlight%28w+=+3V%2F%28l%2Ah%29%29\"
\n" ); document.write( "b) A \"square\" pyramid has a volumre of 560 sq.in, a base length of 10 in., and a height of 14 in. FInd the width of the base.
\n" ); document.write( "(If it were truly a \"square\" pyramid, the width would be 10 in.)
\n" ); document.write( "Let's apply the formula we just derived for w:
\n" ); document.write( "\"w+=+3V%2F%28l%2Ah%29\" Substitute V = 560, l = 10, and h = 14.
\n" ); document.write( "\"w+=+3%28560%29%2F%2810%2A14%29\" Evaluate.
\n" ); document.write( "\"w+=+1680%2F140\"
\n" ); document.write( "\"w+=+12\"in.
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