document.write( "Question 622495: A prism has triangular base with sides 6, 8 and 10. The height is 10. What's the volume?\r
\n" ); document.write( "\n" ); document.write( "I \"got\" the answer, I just clicked to see which answer was correct, and the answer that was correct is 240. Why is that the answer?
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Algebra.Com's Answer #391435 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
A triangle with sides measuring 6, 8 and 10 is a right triangle.
\n" ); document.write( "(I could use the Pythagorean theorem to prove it, but triangles with side lengths in the ratio 3:4:5 are very popular with teachers.
\n" ); document.write( "All teachers remember that a triangle with side lengths 3,4 and 5 is a right triangle because \"3%5E2%2B4%5E2=5%5E2\", and scaled up versions are similar triangles that show up in many problems).
\n" ); document.write( "The sides with length 6 and 8 are the legs of the right triangle, perpendicular to each other.
\n" ); document.write( "If we call one of them the base of the triangle, the other would be the height.
\n" ); document.write( "So the area of the triangle can be calculated as
\n" ); document.write( "\"A=%281%2F2%29%2A6%2A8=24\"
\n" ); document.write( "The volume of a prism can be calculated by multiplying the area of the base times the height,
\n" ); document.write( "The prism in the problem has a base area of 24, and a height of 10.
\n" ); document.write( "Its volume is \"24%2A10=240\"
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