The surface area of the rectangular pyramid is 107 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?

214 in2

205 in2

210 in2

220 in2

Question

The surface area of the rectangular pyramid is 107 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?

 214 in2

 205 in2

 210 in2

 220 in2

anonymous · Answer

attachment

mertsj · Answer

The surgace area of the pyramid is the base which has area 30 and 4 triangles.  2 of the triangles have area 2(1/2)(5)(h).  The other two have area 2(1/2)(6)(h)

mertsj · Answer

So the total area of the pyramid is 30 + 5h+6h or 30 + 11h =107
Solving for h we have h=7

mertsj · Answer

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