document.write( "Question 1095551: A planter in the shape of a cube has a volume of 1,000 in.^3 is the area of the base of the cube greater than or less than 1 square foot? Explain \n" ); document.write( "
Algebra.Com's Answer #710107 by Theo(13342)\"\" \"About 
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the planter has a volume of 1000 cubic inches.\r
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\n" ); document.write( "\n" ); document.write( "this means each side of the planter has a length of 10 inches because the cube root of 1000 is equal to 10.\r
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\n" ); document.write( "\n" ); document.write( "the volume of a cube is the length of a side raised to the third power.\r
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\n" ); document.write( "\n" ); document.write( "you can use the length of any side because all of the sides have the same length.\r
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\n" ); document.write( "\n" ); document.write( "10^3 = 1000 cubic inches.\r
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\n" ); document.write( "\n" ); document.write( "the area of a face of the cube is equal to the length of a side raised to the second power.\r
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\n" ); document.write( "\n" ); document.write( "10^2 = 100 square inches.\r
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\n" ); document.write( "\n" ); document.write( "the area of the base of the cube is the area of any of the faces of the cube since all faces of the cube have the same area.\r
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\n" ); document.write( "\n" ); document.write( "a square foot is equal to 12 inches by 12 inches = 144 square inches.\r
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\n" ); document.write( "\n" ); document.write( "100 square inches is less than 144 square inches.\r
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\n" ); document.write( "\n" ); document.write( "therefore the area of the base of the cube is less than a square foot.\r
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