It's a hard one are you guys up for the challenge?
A rectangular pyramid and a rectangular prism have bases of the same dimensions as shown below.

The surface area of the rectangular pyramid is 174 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?

Question

It's a hard one are you guys up for the challenge?
A rectangular pyramid and a rectangular prism have bases of the same dimensions as shown below.

The surface area of the rectangular pyramid is 174 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?

anonymous · Answer

attachment

anonymous · Answer

Anyone?!?!?

jlastino · Answer

Rec. Pyramid
174= B + 1/2 Pl
B=6(8)
P=2(6+8) = 2(14) =28
174=48+28l/2
174=48+14l
174-48=14l
126=14l
l= 9 (slant height) = height of prism

Rec. Prism

2lw+2lh+2wh

(2)6(8)+2(8)(9)+2(6)(9)
96+144+108
=348

anonymous · Answer

Thanks!

jhonyy9 · Answer

rectangular piramid let Rp.
rectang. prism let rP.

-so surface area Rp.=174 in^2

 area base =6*8=48

lateral area = 2(8*h/2) +2(6*h/2)

- so than 174-48=8*h +6*h 
126=14h

h=126/14 =63/7 =9

jhonyy9 · Answer

2*6*9 +2*8*9 =108+144 =252 +2*48 =348 inch squared is the surface area of rectangular prism