You are making poster board boundary markers in the shape of square pyramids for a relay race. If you are including a ten -inch square as the bottom and you want the slant height to be twelve inches, how much poster board do you need?
three hundred forty square inches
three hundred sixty square inches
three hundred eighty-four square inches
four hundred square inches
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OpenStudy (anonymous):
wow this is a tricky one give me a minute or 2
OpenStudy (anonymous):
total area of a pyramid is TA=(1/2) times the perimeter of the base times the length of the slant height + the area of the base
OpenStudy (anonymous):
permeter of the base is 40, because each side is 10
OpenStudy (anonymous):
im back sorry for not replying
OpenStudy (anonymous):
using the pythagorean theorem your slant height is squareroot of 169 which is 13
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OpenStudy (anonymous):
you're fine
OpenStudy (anonymous):
no now put the numbers in for the equation i gave you
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
got that
OpenStudy (anonymous):
\[TA=(1/2)(40)(13)+100\]
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OpenStudy (anonymous):
ok
OpenStudy (anonymous):
that will be your answer
OpenStudy (anonymous):
let me do the math
OpenStudy (anonymous):
20 times 13 plus 100
OpenStudy (anonymous):
after you get rid of the 1/2
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OpenStudy (anonymous):
i got 360
OpenStudy (anonymous):
me too good job
OpenStudy (anonymous):
; ) thanks
OpenStudy (anonymous):
can we do another
OpenStudy (anonymous):
sure I'll try
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OpenStudy (anonymous):
What is the volume of the prism?
OpenStudy (anonymous):
volume of a prism is area of the base times the height of the prism