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 #680927 by addingup(3677)\"\" \"About 
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Volume: 1/3 x base area x height
\n" ); document.write( "1/3 x b x 4 = 48
\n" ); document.write( "b x 4 = 144
\n" ); document.write( "b = 36
\n" ); document.write( "The base is square, four identical sides. Thus, the area is s^2. Now we have:
\n" ); document.write( "s^2 = 36
\n" ); document.write( "s = 6 this is one side of the base and is the base of each of our four triangles, each of our sides.
\n" ); document.write( "The slant height:
\n" ); document.write( "½base^2+height^2 = slant height^2
\n" ); document.write( "½(6)^2+4^2 = slant height^2
\n" ); document.write( "9+16 = 25
\n" ); document.write( "sqrt25 = 5 this is the slant height
\n" ); document.write( "The surface area of the triangle:
\n" ); document.write( "1/2b × h = area
\n" ); document.write( "½(6) × 5 = area
\n" ); document.write( "area = 15
\n" ); document.write( "We have 4 sides: 15 × 4 = 60
\n" ); document.write( "Plus area of the base: s^2 = 6^2 = 36
\n" ); document.write( "Total 60+36 = 96 is the total area of the pyramid
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