document.write( "Question 1065774: The volume of a pyramid is 48 cubic feet. What is its total surface area if the pyramids height is 4 feet and the base is a square? \n" ); document.write( "

Algebra.Com's Answer #680928 by ikleyn(52797) $\"\"$ $\"About$

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\n" ); document.write( "The volume of a pyramid is 48 cubic feet. What is its total surface area if the pyramids height is 4 feet and the base is a square?
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document.write( "the base is a square, four identical sides. The area is s^2\r\n" );
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document.write( "Volume of the pyramid:\r\n" );
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document.write( " = 48  --->\r\n" );
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document.write( "4s^2 = 3*48\r\n" );
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document.write( "s^2 = (3*48)/4\r\n" );
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document.write( "s^2 = 36  --->  s = sqrt(36)  ---->  s = 6 feet\r\n" );
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document.write( "Each side of the pyramid is a triangle.\r\n" );
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document.write( "Lateral height of the pyramid is the height of the lateral side.\r\n" );
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document.write( " +  =   --->\r\n" );
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document.write( " =  =   ---->   = 5 inches.\r\n" );
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document.write( "Area of each lateral side is  = (6*5)/2 = 15 square feet. This is one side.\r\n" );
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document.write( "Our pyramid has four sides:\r\n" );
document.write( "4*15 = 60 square feet. It is the surface area of four lateral sides.\r\n" );
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document.write( "The base area = s^2 = 6^2 = 36\r\n" );
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document.write( "Total area, four sides plus base:\r\n" );
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document.write( "36 + 60 = 96 square feet. It is the total area of the pyramid.\r\n" );
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\n" ); document.write( "\n" ); document.write( "SOLVED.\r
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\n" ); document.write( "\n" ); document.write( "Lessons on surface area of pyramids in this site:\r
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\n" ); document.write( "\n" ); document.write( "    - Surface area of pyramids\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on surface area of pyramids\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook on Geometry\r
\n" ); document.write( "\n" ); document.write( "    GEOMETRY - YOUR ONLINE TEXTBOOK \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part if this textbook under the topic \"Surface area of 3D solid bodies\".\r
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\n" ); document.write( "Dear tutor \"addingup\".\r
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\n" ); document.write( "\n" ); document.write( "You demonstrated very low level of knowledge on the subject working on this solution.\r
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\n" ); document.write( "\n" ); document.write( "I am very disappointed. \r
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