Mathematics
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OpenStudy (anonymous):
A rectangular pyramid and a rectangular prism have bases of the same dimensions as shown below. The surface area of the rectangular pyramid is 131 square inches. The height of the rectangular prism is the same as the slant height of the pyramid. What is the surface area of the rectangular prism?
13 years ago
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OpenStudy (anonymous):
13 years ago
OpenStudy (anonymous):
thought we did this yesterday...
13 years ago
OpenStudy (anonymous):
Hopefully I have not already gone over this one.
13 years ago
OpenStudy (anonymous):
Could we do it once more?
13 years ago
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OpenStudy (anonymous):
could you give me a step by step explanation this time?
13 years ago
OpenStudy (anonymous):
we need to find the slant height of the pyrmid.... the surface area of the pyrmid is the area of all the4 triangles and the 7x5 rectangular base.
13 years ago
OpenStudy (anonymous):
k
13 years ago
OpenStudy (anonymous):
7 times 5=35
13 years ago
OpenStudy (anonymous):
since the base has area 35, then the area of the 4 triangles is 131-35=96
13 years ago
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OpenStudy (anonymous):
131-35=96
13 years ago
OpenStudy (anonymous):
k
13 years ago
OpenStudy (anonymous):
then?
13 years ago
OpenStudy (anonymous):
96 = (1/2)*5*h + (1/2)*7*h +(1/2)*5*h + (1/2)*7*h
96 = 5*h + 7*h
96 = 12h
8 = h
13 years ago
OpenStudy (anonymous):
k..
13 years ago
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OpenStudy (anonymous):
four sides
13 years ago
OpenStudy (anonymous):
two with the fives and two with the sevens.
13 years ago
OpenStudy (anonymous):
comes out to be 5h+7h
13 years ago
OpenStudy (anonymous):
96 divided by 12 is 8
13 years ago
OpenStudy (anonymous):
the prism has 6 faces.... two 7x5, two 5x8, two 8x7
13 years ago
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OpenStudy (anonymous):
so the prism is... 262?
13 years ago
OpenStudy (anonymous):
ty!!!!!!!
13 years ago