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Mathematics 8 Online
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?

OpenStudy (anonymous):

OpenStudy (anonymous):

thought we did this yesterday...

OpenStudy (anonymous):

Hopefully I have not already gone over this one.

OpenStudy (anonymous):

Could we do it once more?

OpenStudy (anonymous):

could you give me a step by step explanation this time?

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.

OpenStudy (anonymous):

k

OpenStudy (anonymous):

7 times 5=35

OpenStudy (anonymous):

since the base has area 35, then the area of the 4 triangles is 131-35=96

OpenStudy (anonymous):

131-35=96

OpenStudy (anonymous):

k

OpenStudy (anonymous):

then?

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

OpenStudy (anonymous):

k..

OpenStudy (anonymous):

four sides

OpenStudy (anonymous):

two with the fives and two with the sevens.

OpenStudy (anonymous):

comes out to be 5h+7h

OpenStudy (anonymous):

96 divided by 12 is 8

OpenStudy (anonymous):

the prism has 6 faces.... two 7x5, two 5x8, two 8x7

OpenStudy (anonymous):

so the prism is... 262?

OpenStudy (anonymous):

ty!!!!!!!

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