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OpenStudy (anonymous):
OpenStudy (dumbcow):
Volume = areaBase *h
h = areaBase/volume
volume = 768
we need to find areaBase
for this figure the base or top and bottom is a right triangle
the triangle has one side of 8 and diagonal side of 17
area of triangle = 1/2*length*height
find height of triangle using pythagorean theorem
a^2 +b^2 = c^2
so 8^2+b^2 = 17^2
find b, then use that to find area of triangle
OpenStudy (anonymous):
i got 15
OpenStudy (dumbcow):
correct
areaTriangle = 1/2*8*15
OpenStudy (anonymous):
does 15 as height?
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OpenStudy (dumbcow):
oops i made a mistake
h=volume/areaBase
OpenStudy (dumbcow):
yes 15 is height of triangle
OpenStudy (anonymous):
Find h. V = 896 cm3
OpenStudy (dumbcow):
what do you get for an answer for H?
OpenStudy (anonymous):
192
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OpenStudy (dumbcow):
how did you get 192?
OpenStudy (anonymous):
768=1/2*8*H
OpenStudy (dumbcow):
be careful there are 2 equations
one is for 2-dimensional triangle (The base)
one is for 3-dimensional prism
768 = (AreaTriangle)*H
AreaTriangle = 1/2*8*15
OpenStudy (anonymous):
i got 12.8
OpenStudy (dumbcow):
correct
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OpenStudy (anonymous):
ok can u help me with the next question
OpenStudy (dumbcow):
Volume = areaBase*Height
896 = areaBase*24
areaBase = 896/24=112/3
Base is a hexagon, but can be split up into 2 trapezoids
Area of trapezoid = 1/2*h*(b1+b2) = 112/3
b1 =12
b2 = 20
solve for h
OpenStudy (dumbcow):
wait another mistake
areaTrapezoid = 1/2*areabase = 1/2*112/3 = 112/6=56/3
OpenStudy (dumbcow):
sorry i gotta go
good luck
answer is 1.166 so you can check